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 15,585 27,149 1417 7504 18,232 16,059 13,929...

a. Use a

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

In this​ example,

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?

a)

what is the test statistic,t?

what is the p-value?

b)constuct the confidence interval that could be used for the hypothesis test described in part a