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)   Male 15,585 27,149 1417 7504 18,232 16,059 13,929 26,128   Female 24,630 13,872 18,097 17,504 13,480 16,833 16,382 18,222   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? a) identify the test statistic, t? identify the p value? b)construct the confidence interval that could be used for the hypothesis test described in part (a)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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)

 

Male

15,585

27,149

1417

7504

18,232

16,059

13,929

26,128

 

Female

24,630

13,872

18,097

17,504

13,480

16,833

16,382

18,222

 

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?

a) identify the test statistic, t?

identify the p value?

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

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