Answered: confidence interval leads to the same…

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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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	15,120	26,314	1464	7800	19,420	15,288	14,615	25,602
Female	24,185	13,795	18,744	17,195	12,673	17,157	16,456	18,185

a. Use a 0.01significance 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 [less than< equals= greater than> not equals≠] [] word(s)

H1: μd [less than< equals= not equals≠ greater than] [] word(s)

(Type integers or decimals. Do not round.)

Identify the test statistic: 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 (greater than/ less than or equal to) the significance level, (reject/ fail to reject) the null hypothesis. There (is/ is not)
sufficient evidence to support the claim that males speak fewer words in a day than females.

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). (Round to the nearest integer as needed.)

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

choose the best option in parentheses.

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

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