1. Matrimonial Unrest
Jonathan Hrichison
Christian Makuza
Julia Tran

2. 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

3. 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

4. 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

5. One Sample Hypothesis Testing
n > 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)))

6. One Sample Hypothesis Testing
n < 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)

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

8. 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

9. Not Enough Sleep
 Null: m <= .267 – Not enough sleep (less than
6 hours) does not lead to more fights.
 Alternative: m > .267 – Not enough sleep (less
than 6 hours) does lead to more fights.

10. 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

11. Bills Paid That Day
 Null: m <= .267 – Bills paid that day does not
lead to more fights.
 Alternative: m > .267 – Bills paid that day does
lead to more fights.

12. 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

13. PMS Symptoms That Day
 Null: m <= .267 – PMS Symptoms that day
does not lead to more fights.
 Alternative: m > .267 – PMS Symptoms that
day does lead to more fights.

14. 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

15. A Bad Day at Work
 Null: m <= .267 – A bad day at work does not
lead to more fights.
 Alternative: m > .267 –A bad day at work does
lead to more fights.

16. 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

17. Too Much Coffee
 Null: m <= .267 – Too much coffee (2+) does
not lead to more fights.
 Alternative: m > .267 – Too much coffee (2+)
does lead to more fights.

18. 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

19. School the Next Day
 Null: m <= .267 – School the next day does not
lead to more fights.
 Alternative: m > .267 – School the next day
does lead to more fights.

20. 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

21. 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.

22. 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.

23. 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.

24. 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.

25. 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!!!