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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
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. 15,998 25,634 1381 7482 19,389 15,252 14,392 25,616 24,096 13,232 17,849 17,506 12,653 17,511 15,855 18,110 Male Female 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, 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? Ho: word(s) word(s) H: Hd (Type integers or decimals. Do not round.) Identify the test statistic. Hd t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is males speak fewer words in a day than females. the significance level, the null hypothesis. There 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 word(s)
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