matrimonial unrest

Matrimonial Unrest

Jonathan HrichisonChristian 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!!!