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
• : =AVERAGE()
• : =STDEV()
• zOBS : =STANDARDIZE(x, , /SQRT(n))
• zCRIT : =NORMSINV(1- /# of tails)
• p-value : =(# of tails) * (1-
NORMSDIST(ABS(zOBS)))

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

7. Not Enough Sleep
• Null: – Not enough sleep (less than
7 hours) does not lead to more fights.
• Alternative: – Not enough sleep (less
than 7 hours) does lead to more fights.

8. Not Enough Sleep
• Hypothesized Value = .267 • zOBS = (.073)
• Sample Mean = .262 • zCRIT = 1.645
• Standard Deviation = .445 • P-value = .471
• Sample Size = 42 • -level = .05
• Do not Reject the Null

9. Not Enough Sleep
• Null: – Not enough sleep (less than
6 hours) does not lead to more fights.
• Alternative: – Not enough sleep (less
than 6 hours) does lead to more fights.

10. Not Enough Sleep
• Hypothesized Value = .267 • tOBS = (.152)
• Sample Mean = .250 • tCRIT = 1.753
• Standard Deviation = .447 • P-value = .441
• Sample Size = 16 • -level = .05
• Do not Reject the Null

11. Bills Paid That Day
• Null: – Bills paid that day does not
lead to more fights.
• Alternative: – Bills paid that day does
lead to more fights.

12. Bills Paid That Day
• Hypothesized Value = .267 • tOBS = .313
• Sample Mean = .333 • tCRIT = 2.015
• Standard Deviation = .516 • P-value = .383
• Sample Size = 6 • -level = .05
• Do not Reject the Null

13. PMS Symptoms That Day
• Null: – PMS Symptoms that day
does not lead to more fights.
• Alternative: – PMS Symptoms that
day does lead to more fights.

14. PMS Symptoms That Day
• Hypothesized Value = .267 • tOBS = 2.041
• Sample Mean = .600 • tCRIT = 1.833
• Standard Deviation = .516 • P-value = .036
• Sample Size = 10 • -level = .05
• Reject the Null

15. A Bad Day at Work
• Null: – A bad day at work does not
lead to more fights.
• Alternative: –A bad day at work does
lead to more fights.

16. A Bad Day at Work
• Hypothesized Value = .267 • tOBS = 1.680
• Sample Mean = .500 • tCRIT = 1.771
• Standard Deviation = .519 • P-value = .059
• Sample Size = 14 • -level = .05
• Do not Reject the Null

17. Too Much Coffee
• Null: – Too much coffee (2+) does
not lead to more fights.
• Alternative: – Too much coffee (2+)
does lead to more fights.

18. Too Much Coffee
• Hypothesized Value = .267 • tOBS = .925
• Sample Mean = .364 • tCRIT = 1.721
• Standard Deviation = .492 • P-value = .183
• Sample Size = 22 • -level = .05
• Do not Reject the Null

19. School the Next Day
• Null: – School the next day does not
lead to more fights.
• Alternative: – School the next day
does lead to more fights.

20. School the Next Day
• Hypothesized Value = .267 • tOBS = .314
• Sample Mean = .300 • tCRIT = 1.729
• Standard Deviation = .470 • P-value = .378
• Sample Size = 20 • -level = .05
• Do not Reject the Null

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!!!