Answered: The accompanying table lists the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples. Complete parts (a) and (b) below.

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, 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?

H0: μd ( >or<or=or≠)___

H1: μd ( >or<or=or≠)___

B. Identify the test statistic.

t=____

C. Identify the P-value.

P-value=____

D. 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.

E. 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)< μd<___word(s).

F. What feature of the confidence interval leads to the same conclusion reached in part (a)?

Since the confidence interval contains (zero/ only positive numbers/ only negative numbers) (fail to reject/ reject) the null hypothesis.

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