diff rel-ind-good fit( (practice problems)

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Now that you have been shown the difference between these four question types:

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Page 1: Diff rel-ind-good fit( (practice problems)

Now that you have been shown the difference between these four question types:

Page 2: Diff rel-ind-good fit( (practice problems)

Now that you have been shown the difference between these four question types:

Page 3: Diff rel-ind-good fit( (practice problems)

You will be shown a series of problems, asked to classify them, and then shown the correct classification.

Page 4: Diff rel-ind-good fit( (practice problems)

Problem #1

Page 5: Diff rel-ind-good fit( (practice problems)

Problem #1A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

Page 6: Diff rel-ind-good fit( (practice problems)

Problem #1A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

Page 7: Diff rel-ind-good fit( (practice problems)

Problem #1A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Page 8: Diff rel-ind-good fit( (practice problems)

How would you classify this question?

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Page 9: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

This is a question of difference: Click to see our rationale.

Page 10: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Group 1

are different, similar or

comparable to one another based on

Some OutcomeGroup 2 & Group 3

Page 11: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Some OutcomeGroup 2 & Group 3

Page 12: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Some Outcome

Basketball Players

& Group 3

Page 13: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Some Outcome

Basketball Players

& Soccer Players

Page 14: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Some Outcome

Basketball Players

& Soccer Players

Page 15: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Eaten in one

Sitting

Basketball Players

& Soccer Players

Page 16: Diff rel-ind-good fit( (practice problems)

A pizza café owner wants to know which type of high school athlete she should market to. Should she market to high school football, basketball, or soccer players?

So she measures the ounces of pizza eaten by 12 football, 12 basketball, and 12 soccer players in one sitting to determine who eats more.

Football Players

are different, similar or

comparable to one another based on

Eaten in one

Sitting

Basketball Players

& Soccer Players

Therefore, this is a question of difference

Page 17: Diff rel-ind-good fit( (practice problems)
Page 18: Diff rel-ind-good fit( (practice problems)

Problem #2

Page 19: Diff rel-ind-good fit( (practice problems)

Problem #2A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

Page 20: Diff rel-ind-good fit( (practice problems)

Problem #2A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 100 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

Page 21: Diff rel-ind-good fit( (practice problems)

How would you classify this question?

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 100 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

Page 22: Diff rel-ind-good fit( (practice problems)

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 100 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

We are testing the claim of a hypothesized count (40, 60, 10) with an observed count (40, 55, 5). Therefore this is

a Goodness of Fit question.

Page 23: Diff rel-ind-good fit( (practice problems)

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 110 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

We are testing the claim of a hypothesized count (40, 60, 10) with an observed count (40, 55, 5). Therefore this is

a Goodness of Fit question.

Page 24: Diff rel-ind-good fit( (practice problems)

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 100 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

We are testing the claim of a hypothesized count (40, 60, 10) with an observed count (30, 65, 15). Therefore this is

a Goodness of Fit question.

Page 25: Diff rel-ind-good fit( (practice problems)

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you randomly select a sample of 100 baseball cards. The number of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?

We are testing the claim of a hypothesized count (40, 60, 10) with an observed count (30, 65, 15). Therefore this is

a Goodness of Fit question.

Page 26: Diff rel-ind-good fit( (practice problems)

A company prints baseball cards. They claim that for every pack of 110 cards, 40 are rookies; 60, veterans; and 10, All-Stars.

To test their claim, you gather a random sample of 100 baseball cards. The count of rookies you collect is 30, of veterans is 65, and All-stars is 15. Does this sample support the claim?We are testing the claim of a hypothesized count (30, 60, 10) with an observed count (30, 65, 15). Therefore this

is a Goodness of Fit question.

Page 27: Diff rel-ind-good fit( (practice problems)
Page 28: Diff rel-ind-good fit( (practice problems)

Problem #3

Page 29: Diff rel-ind-good fit( (practice problems)

Problem #3College professors assume that the more years they teach and the more papers they publish, the more money they will earn.

Page 30: Diff rel-ind-good fit( (practice problems)

Problem #3College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Page 31: Diff rel-ind-good fit( (practice problems)

Problem #3College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Page 32: Diff rel-ind-good fit( (practice problems)

How would you classify this question?

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Page 33: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

This is a question of relationship: Click to see our rationale

Page 34: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Variable 1An Increase or decrease in Predicts Variable 3

Variable 2

Page 35: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Variable 1An Increase or decrease in Predicts Variable 3

Variable 2

Page 36: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts Variable 3

Variable 2

Page 37: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts Variable 3Papers

Published

Page 38: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts Variable 3Papers

Published

Page 39: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts Variable 3Papers

Published

When something predicts something else, that prediction is based on a

relationship between the two

Page 40: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts

Money EarnedPapers

Published

Page 41: Diff rel-ind-good fit( (practice problems)

College professors assume that the more years they teach and the more papers they publish, the more money they will earn. Test this hypothesis by examining the relationship between years taught, papers published, and median income.

Years TaughtAn Increase or decrease in Predicts

Money EarnedPapers

Published

Therefore this is a question of relationship

Page 42: Diff rel-ind-good fit( (practice problems)
Page 43: Diff rel-ind-good fit( (practice problems)

Problem #4

Page 44: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 45: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 46: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 47: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 48: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 49: Diff rel-ind-good fit( (practice problems)

Problem #4Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 50: Diff rel-ind-good fit( (practice problems)

How would you classify this problem?

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Page 51: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

This is a question of independence: Click to see our rationale

Page 52: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Variable 1Higher and

lower scores in

tend to be UNRELATED to

certain groups in Variable 2

Page 53: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Conservat-iveness

Higher and lower scores

in

tend to be UNRELATED to

certain groups in Variable 2

Page 54: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Conservat-iveness

Higher and lower scores

in

tend to be UNRELATED to

certain groups in Variable 2

Page 55: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Conservat-iveness

Higher and lower scores

in

tend to be UNRELATED to certain groups

based on

Funding Status

Page 56: Diff rel-ind-good fit( (practice problems)

Claims have been made that a conservative arm of the government will only fund studies that support their conservative agenda.

The government has commissioned researchers to determine if such a bias exists in the funding of studies. Their hope is that no such connection exists. First, they rate each study on a scale of conservativeness (1 = very liberal to 10 = very conservative). They then classify each study as funded or not (1 = funded; 2 = not funded)

Conservat-iveness

Higher and lower scores

in

tend to be UNRELATED to certain groups

based on

Funding Status

Therefore this is a question of independence

Page 57: Diff rel-ind-good fit( (practice problems)
Page 58: Diff rel-ind-good fit( (practice problems)

Problem #5

Page 59: Diff rel-ind-good fit( (practice problems)

Problem #5Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

Page 60: Diff rel-ind-good fit( (practice problems)

Problem #5Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

Page 61: Diff rel-ind-good fit( (practice problems)

Problem #5Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

Page 62: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

How would you classify this question?

Page 63: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

This is a question of difference: Click to see our rationale

Page 64: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

Page 65: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Some Outcome

Group 2Group 1 is different than

Page 66: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Some Outcome

Group 2100 oz Group

is different than

Page 67: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Some Outcome

Group 2100 oz Group

is different than

Page 68: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Some Outcome

Normal Group

100 oz Group

is different than

Page 69: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Birth Weight

Normal Group

100 oz Group

is different than

Page 70: Diff rel-ind-good fit( (practice problems)

Scientist have hypothesized that baby birth weight may be greater if during pregnancy women drink at least 100 fluid ounces of water a day.

To test this hypothesis 30 pregnant women drink 100 fluid ounces of water a day and another 30 maintain their normal water intake. Baby birth weight is compared to determine if there is a difference between the two groups.

based on Birth Weight

Normal Group

100 oz Group

is different than

Therefore this is a question of difference

Page 71: Diff rel-ind-good fit( (practice problems)
Page 72: Diff rel-ind-good fit( (practice problems)

Problem #6

Page 73: Diff rel-ind-good fit( (practice problems)

Problem #6An ice cream parlor wants to determine the amount of inventory they will need as summer begins.

Page 74: Diff rel-ind-good fit( (practice problems)

Problem #6An ice cream parlor wants to determine the amount of inventory they will need as summer begins.

Page 75: Diff rel-ind-good fit( (practice problems)

Problem #6An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Page 76: Diff rel-ind-good fit( (practice problems)

Problem #6An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Page 77: Diff rel-ind-good fit( (practice problems)

How would you classify this problem?

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Page 78: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

This is a question of relationship: Click to see our rationale

Page 79: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Variable 1An Increase or decrease in

is accompanied by an increase or decrease in

Variable 2

Page 80: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Variable 1An Increase or decrease in

is accompanied by an increase or decrease in

Variable 2

Page 81: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Average Ice Cream

Sales

An Increase or decrease in

is accompanied by an increase or decrease in

Variable 2

Page 82: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Average Ice Cream

Sales

An Increase or decrease in

is accompanied by an increase or decrease in

Variable 2

Page 83: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Average Ice Cream

Sales

An Increase or decrease in

is accompanied by an increase or decrease in

Average Daily

Temperature

Page 84: Diff rel-ind-good fit( (practice problems)

An ice cream parlor wants to determine the amount of inventory they will need as summer begins. They record the average sale of ice cream along with the average daily temperature to see if an increase in one is accompanied by an increase in the other.

Average Ice Cream

Sales

An Increase or decrease in

is accompanied by an increase or decrease in

Average Daily

Temperature

Therefore this is a question of relationship

Page 85: Diff rel-ind-good fit( (practice problems)
Page 86: Diff rel-ind-good fit( (practice problems)

Problem #7

Page 87: Diff rel-ind-good fit( (practice problems)

Problem #7Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

Page 88: Diff rel-ind-good fit( (practice problems)

Problem #7Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

Type 1

Type 2

Type 3

Page 89: Diff rel-ind-good fit( (practice problems)

How would you classify this problem?

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

Page 90: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

This is a question of difference: Click to see our rationale

Page 91: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Some OutcomeGroup 2Group 1 Group 3&

Page 92: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Some OutcomeGroup 2Type 1

Machines Group 3&

Page 93: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Some Outcome

Type 2 Machines

Type 1 Machines Group 3&

Page 94: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Some Outcome

Type 2 Machines

Type 1 Machines

Type 3 Machines

&

Page 95: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Soil Compaction

Type 2 Machines

Type 1 Machines

Type 3 Machines

&

Page 96: Diff rel-ind-good fit( (practice problems)

Different types of farm machinery have different effects on the compaction of soil and thus may affect yields differently. You have been asked to determine which farm machinery type (1, 2, or 3) has the biggest impact on soil compaction.

are different from one another based on

Soil Compaction

Type 2 Machines

Type 1 Machines

Type 3 Machines

&

Therefore this is a question of difference

Page 97: Diff rel-ind-good fit( (practice problems)
Page 98: Diff rel-ind-good fit( (practice problems)

Problem #8

Page 99: Diff rel-ind-good fit( (practice problems)

Problem #8Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of bilingual students and a group of monolingual students and compare the results.

Page 100: Diff rel-ind-good fit( (practice problems)

Problem #8Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of bilingual students and a group of monolingual students and compare the results.

Page 101: Diff rel-ind-good fit( (practice problems)

Problem #8Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of bilingual students and a group of monolingual students and compare the results.They decide to see if the difference holds, when controlling for gender.

Page 102: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

How would you classify this question?

Page 103: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

This is a question of difference: Click to see our rationale.

Page 104: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on Some Outcome

Group 2Group 1 is different than

Page 105: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on Some Outcome

Group 2Bilingual Students

is different than

Page 106: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on Some Outcome

Group 2Bilingual Students

is different than

Page 107: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on Some Outcome

Monolingual Students

Bilingual Students

is different than

Page 108: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on

Math Word Problem

Performance

Monolingual Students

Bilingual Students

is different than

Page 109: Diff rel-ind-good fit( (practice problems)

Educational researchers want to know if the language in which a mathematical word problem is stated has an effect on the performance of bilingual students. They test a group of 25 bilingual students and a group of 28 monolingual students and compare the results.They decide, as an after thought, to see if the difference holds, when controlling for gender.

based on

Math Word Problem

Performance

Monolingual Students

Bilingual Students

is different than

Even though there are other things going on like “controlling for gender”, at it’s core this is

a question of difference.

Page 110: Diff rel-ind-good fit( (practice problems)
Page 111: Diff rel-ind-good fit( (practice problems)

Good luck, classifying your problem

Page 112: Diff rel-ind-good fit( (practice problems)

Good luck, classifying your problem