Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts​ (a) and​ (b) below.

Male Female

16,051 24,017

26,378 12,962

1440 17,644

7875 17,399

18,237 12,486

15,728 16,581

14,306 16,533

26,823 18,967


a. Use a 0.05 significance level to test the claim that among​ couples, males speak fewer words in a day than females.

In this​ example, mu Subscript d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis​ test?


The test statistic is -0.35

The P-value is 0.369

What is the conclusion based on the hypothesis​ test?