ap statistics: section 2.2 b. recall finding a z-score in section 2.1: z = ------------

AP Statistics: Section 2.2 B

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We can use this formula to take any particular observation in a Normal distribution and convert it to a z-score. This new distribution of z-scores is called the ____________________________.

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AP Statistics: Section 2.2 B

Recall finding a z-score in section 2.1:

z = ------------.

We can use this formula to take any particular observation in a

Normal distribution and convert it to a z-score. This new distribution

of z-scores is called the

____________________________. ondistributi Normal standard

Page 4: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Its mean will be _____ and its standard deviation will be _____.

Page 5: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

The notation for the standard Normal distribution is ______.)1,0(N

Page 6: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

The standard Normal distribution is a density curve and thus the area under the curve must equal ____1

Page 7: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Any question about the proportion of observations in a particular

interval can be answered by finding the area under the curve.

Page 8: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Turn to Table A in the front of your text.

Note that table A always gives the area to the left of

the z-score.

Page 9: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 10: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 11: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

0934.9066.1

Page 12: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Calculator:2nd VARS (DISTR)2:normalcdf(ENTERnormalcdf(lower limit, upper limit)

normalcdf(1.32, 10000)

0934.

Page 13: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 14: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 15: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

5570.2843.8413.

Page 16: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

normalcdf(-.57, 1)

5570.

Page 17: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Normal Distribution Calculations

We can answer any question about proportions of observations in a

Normal distribution by ____________ and then using the

Standard Normal table. standardizing

Page 18: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

33.230

170240

0099.9901.1

Page 19: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Calculator:

normalcdf(240,10000,

normalcdf(240, 10000, 170, 30)

0098.

Page 20: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

67.30

170150

z 67.

30170190

4972.2514.7486.

Page 21: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Calculator:

normalcdf(150,190,170,30)

4950.

Page 22: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 23: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 24: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

67.

3017067.

9.149x

Page 25: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Calculator:2nd VARS (DISTR)3: invNorm(ENTERinvNorm(area to left,

invNorm(.25, 170, 30)

765.149x

Page 26: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 27: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

Page 28: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

84.

3017084.

2.195x

Page 29: AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z = ------------

invNorm(.8, 170, 30)

249.195x

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