Matrimonial Unrest

Jonathan Hrichison

Christian Makuza

Julia Tran

Matrimonial Unrest

Mr. & Mrs. Hartford Newly married Having numerous fights Unsure as to the cause(s) Visits a team of a psychologist and a marriage

counselor Collect data of various events that may trigger

fights

Matrimonial Unrest

Potential factors for a fight: Number of calories consumed Number of hours of sleep the night before Bad day at work School the next day Number of cups of coffee consumed that day Uncomfortable symptoms of PMS that day Bills paid that day

Matrimonial Unrest Hypothesis Testing

Define the hypothesis Null hypothesis

States the obvious Alternative hypothesis

Bears the burden of proof Calculate the test statistic Make a decision

If the sample mean is close to the assumed population mean, do not reject the null hypothesis

If the sample mean is far from the assumed population mean, reject the null hypothesis

One Sample Hypothesis Testingn > 30 m : =AVERAGE() s : =STDEV() zOBS : =STANDARDIZE(x,m, s/SQRT(n)) zCRIT : =NORMSINV(1-a/# of tails) p-value : =(# of tails) * (1-

NORMSDIST(ABS(zOBS)))

One Sample Hypothesis Testingn < 30 m : =AVERAGE() s : =STDEV() tOBS : =STANDARDIZE(x,m, s/SQRT(n)) tCRIT : =TINV(2a/# of tails,df) p-value : TDIST(ABS(tOBS)),df, # of tails)

Not Enough Sleep

Null: <= .267 m – Not enough sleep (less than 7 hours) does not lead to more fights.

Alternative: > .267 m – Not enough sleep (less than 7 hours) does lead to more fights.

Not Enough Sleep

Hypothesized Value = .267 Sample Mean = .262 Standard Deviation = .445 Sample Size = 42

Do not Reject the Null

zOBS = (.073) zCRIT = 1.645 P-value = .471 a-level = .05

Not Enough Sleep

Null: <= .267 m – Not enough sleep (less than 6 hours) does not lead to more fights.

Alternative: > .267 m – Not enough sleep (less than 6 hours) does lead to more fights.

Not Enough Sleep

Hypothesized Value = .267 Sample Mean = .250 Standard Deviation = .447 Sample Size = 16

Do not Reject the Null

tOBS = (.152) tCRIT = 1.753 P-value = .441 a-level = .05

Bills Paid That Day

Null: <= .267 m – Bills paid that day does not lead to more fights.

Alternative: > .267 m – Bills paid that day does lead to more fights.

Bills Paid That Day

Hypothesized Value = .267 Sample Mean = .333 Standard Deviation = .516 Sample Size = 6

Do not Reject the Null

tOBS = .313 tCRIT = 2.015 P-value = .383 a-level = .05

PMS Symptoms That Day

Null: <= .267 m – PMS Symptoms that day does not lead to more fights.

Alternative: > .267 m – PMS Symptoms that day does lead to more fights.

PMS Symptoms That Day

Hypothesized Value = .267 Sample Mean = .600 Standard Deviation = .516 Sample Size = 10

Reject the Null

tOBS = 2.041 tCRIT = 1.833 P-value = .036 a-level = .05

A Bad Day at Work

Null: <= .267 m – A bad day at work does not lead to more fights.

Alternative: > .267 m –A bad day at work does lead to more fights.

A Bad Day at Work

Hypothesized Value = .267 Sample Mean = .500 Standard Deviation = .519 Sample Size = 14

Do not Reject the Null

tOBS = 1.680 tCRIT = 1.771 P-value = .059 a-level = .05

Too Much Coffee

Null: <= .267 m – Too much coffee (2+) does not lead to more fights.

Alternative: > .267 m – Too much coffee (2+) does lead to more fights.

Too Much Coffee

Hypothesized Value = .267 Sample Mean = .364 Standard Deviation = .492 Sample Size = 22

Do not Reject the Null

tOBS = .925 tCRIT = 1.721 P-value = .183 a-level = .05

School the Next Day

Null: <= .267 m – School the next day does not lead to more fights.

Alternative: > .267 m – School the next day does lead to more fights.

School the Next Day

Hypothesized Value = .267 Sample Mean = .300 Standard Deviation = .470 Sample Size = 20

Do not Reject the Null

tOBS = .314 tCRIT = 1.729 P-value = .378 a-level = .05

Conclusions

As the psychologist Not enough sleep (7 hours)

|OBS|< CRIT and P-value > α-level We do not reject the null hypothesis, meaning less than 7

hours of sleep does not trigger the fights.

Not enough sleep (6 hours) |OBS|< CRIT and P-value > α-level

We do not reject the null hypothesis, meaning less than 6 hours of sleep does not trigger the fights.

Conclusions

A bad day at work |OBS|< CRIT and P-value > α-level

We do not reject the null hypothesis, meaning that a bad day at work does not necessary lead to a fight.

Bills paid that day |OBS|< CRIT and P-value > α-level

We do not reject the null hypothesis, meaning that when bills were paid that day it does not necessary lead to a fight.

Conclusions

School the next day |OBS|< CRIT and P-value > α-level

We do not reject the null hypothesis, meaning that having school the next day does not lead to a fight.

As a marriage counselor• Too much coffee (2 +)

|OBS|< CRIT and P-value > α-level We do not reject the null hypothesis, meaning that drinking

too much coffee does not lead to a fight.

Conclusions

PMS symptoms |OBS|> CRIT and P-value < α-level

We reject the null hypothesis, meaning that there is enough evidence to say that PMS symptoms lead to fights.

Recommendations

Talk to a specialist on how to deal with PMS symptoms.

More thorough analysis of the relationship. Combination of 2 or more factors may be the

cause so more calculations are needed. As a last resort: they are not meant for each

other >>>> Get a good lawyer!!!