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 16,132 25,686 1377 7612 18,327 15,178 13,854 26,712 Female 24,950 13,521 18,371 17,932 12,761 17,477 16,747 18,826 a. Use a 0.01 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? Identify the test statistic. Identify the P-value. What is the conclusion based on the hypothesis test? 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)? What feature of the confidence interval leads to the same conclusion reached in part (a)?
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 16,132 25,686 1377 7612 18,327 15,178 13,854 26,712 Female 24,950 13,521 18,371 17,932 12,761 17,477 16,747 18,826 a. Use a 0.01 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? Identify the test statistic. Identify the P-value. What is the conclusion based on the hypothesis test? 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)? What feature of the confidence interval leads to the same conclusion reached in part (a)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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
|
16,132
|
25,686
|
1377
|
7612
|
18,327
|
15,178
|
13,854
|
26,712
|
|
|---|---|---|---|---|---|---|---|---|---|
|
Female
|
24,950
|
13,521
|
18,371
|
17,932
|
12,761
|
17,477
|
16,747
|
18,826
|
a. Use a 0.01 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?
Identify the test statistic.
Identify the P-value.
What is the conclusion based on the hypothesis test?
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)?
What feature of the confidence interval leads to the same conclusion reached in part (a)?
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