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 15,734 26,211 1449 8022 19,383 15,484 14,428 26,521 Female 25,497 13,222 18,676 17,582 12,725 17,055 15,990 19,049 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 ▼ greater than> equals= less than< not equals≠ nothing word(s) H1: μd ▼ less than< not equals≠ greater than> equals= nothing word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=nothing (Round to two decimal places as needed.) Identify the P-value. P-value=nothing (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, ▼ 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. 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 nothing word(s)<μd

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	15,734	26,211	1449	8022	19,383	15,484	14,428	26,521
Female	25,497	13,222	18,676	17,582	12,725	17,055	15,990	19,049

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

▼

greater than>

equals=

less than<

not equals≠

nothing

word(s)

H1:

μd

▼

less than<

not equals≠

greater than>

equals=

nothing

word(s)

(Type integers or decimals. Do not round.)

Identify the test statistic.

t=nothing

(Round to two decimal places as needed.)

Identify the P-value.

P-value=nothing

(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,

▼

fail to reject

reject

the null hypothesis. There

▼

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

nothing

word(s)<μd<nothing

word(s).

(Round to the nearest integer as needed.)

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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