Question

Dataset:

Husband   Wife
53   50
38   34
46   44
30   36
31   23
26   31
29   25
48   51
65   46
29   26
28   23
29   32
25   22
22   21
21   24
43   50
24   27
38   33
33   26
35   29
40   29
27   25
27   24
49   38
48   39
27   27
26   24
40   34
35   37
21   26
32   39
30   28
60   52
36   40
25   23
66   55
52   34
41   40
43   40
53   44
25   22
30   33
22   19
33   34
53   40
34   29
75   67
23   21
39   30
22   21
27   24
27   25
27   27
29   29
24   27
32   24
19   18
34   26
39   38
60   52
30   27
27   24
25   22
49   39
31   30
22   22
25   23
29   32
26   25
49   52
63   45
27   27
29   31
22   21
41   41
28   20
20   18
24   22
29   33
45   45
38   34
50   43
23   22
48   41
40   38
34   30
37   30
35   30
27   26
34   28
48   39
25   24
21   20
26   23
24   27
24   22
21   22
29   31
31   25
29   28
20   18
67   68
29   27
49   51
45   40

1. What is the test statistic and p-value?
2. Compare p-value to 0.05 and make your decision.
3. What is the conclusion in context?

Answer 1

Using Minitab software:-

Ans:-

The test statistic is

Null hypothesis: All means are equal

Alternative hypothesis: Not all means are equal

Significance level alpha=0.05

Comparison of p-value (probability value) is 0.072

P-value > alpha value

0.072 > 0.05

The decision is:- accept the null hypothesis

Conclusion: The conclusion of the above husband and wife data is stated as the top. Prior to the test alpha was selected to be 0.05. We see that the p-value is 0.072, which is greater than the alpha value 0.05. So we do not reject the null hypothesis.