Question
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
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 | 15,329 | 26,226 | 1415 | 7626 | 19,131 | 15,306 | 13,761 | 26,536 | |
Female | 25,371 | 13,539 | 17,640 | 17,930 | 13,004 | 17,010 | 15,854 | 19,036 |
In this example, 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?
H0: d less than/not equals.enter your response here)word(s)
H1: d not equals/equals=/greater than>/less than< (enter your response here) word(s)
(Type integers or decimals. Do not round.)
Part 2
Identify the test statistic.
t=enter your response here
(Round to two decimal places as needed.)
Part 3
Identify the P-value.
P-value=enter your response here
(Round to three decimal places as needed.)
Part 4
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to/greater than the significance level, fail to reject/reject the null hypothesis. There is/is not sufficient evidence to support the claim that males speak fewer words in a day than females.
Part 5
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)?
The confidence interval is (enter your response here) word(s) word(s). (Round to the nearest integer as needed.) Part 6 What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers/ zero/only positive numbers, Reject/fail to reject/the null hypothesis.
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