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This data set contains the ages of the husband and the wife for 20 couples. We want to know what the difference is between the ages of husbands and wives. Since this data is paired (and clearly not independent) we should not use the 2-Sample T Interval or 2-Sample T Test.
Instead consider the pairwise differences.
Using our calculator, enter the Age of Husband in L1, the Age of Wife in L2. Move your cursor over L3 and type L1-L2… enter. L3 will fill with the pairwise differences.  We will treat this as our data set.
a) Create a 90% confidence interval for the true
(pairwise) differences and interpret it in the context
of the problem

c) What conclusion is appropriate?

d) Considering both a) and b) are our results statistically significant? Practically
significant?

e) What type of error might we have made?

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c) What conclusion is appropriate?

d) Considering both a) and b) are our results statistically significant? Practically
significant?

e) What type of error might we have made?

  • 1
Reply Report

data:

Age of
Husband

Age of
Wife

Pairwise
Differences

29

30

 

38

33

 

47

45

 

23

22

 

45

46

 

48

33

 

35

35

 

34

37

 

56

57

 

52

47

 

44

36

 

30

31

 

26

29

 

65

62

 

25

25

 

37

38

 

72

70

 

27

28

 

50

45

 

36

3

 
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