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 15,189 27,273 1433 7868 19,592 15,536 14,209 25,384   Female 25,472 13,148 19,017 17,769 13,300 17,466 16,879 18,054     a. Use a 0.01 significance level to test the claim that among​ couples, males speak fewer words in a day than females.   In this​ example, μd 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?

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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
15,189
27,273
1433
7868
19,592
15,536
14,209
25,384
 
Female
25,472
13,148
19,017
17,769
13,300
17,466
16,879
18,054
 
 
a. Use a 0.01 significance level to test the claim that among​ couples, males speak fewer words in a day than females.
 
In this​ example, μd 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?
 
 
 
 
 
 
t=_________
 
 
p- value
p=________
 
 
b. Construct the confidence interval that could be used for the hypothesis test described in part​ (a). What feature of the confidence interval leads to the same conclusion reached in part​ (a)?
 
 
 
 
 
 
 
 
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