In a study to investigate whether women are really more talkative than men, the difference in the numbers of words spoken in a day by the male (male;) and female (female;) members of 56 randomly selected couples (di male, female,, i = 1, 2, ..., 56) was recorded and the following summary statistics were produced: = 56 56 Σdi –104,558, Σα = = 4, 605, 935, 512. i=1 i=1 (a) Calculate the sample mean and the sample variance for the differences. (b) State the null and alternative hypotheses for a paired t-test. (c) Show that the test statistic is t = -1.56 and hence determine whether the null hypothesis can be rejected at the 5% significance level. =
In a study to investigate whether women are really more talkative than men, the difference in the numbers of words spoken in a day by the male (male;) and female (female;) members of 56 randomly selected couples (di male, female,, i = 1, 2, ..., 56) was recorded and the following summary statistics were produced: = 56 56 Σdi –104,558, Σα = = 4, 605, 935, 512. i=1 i=1 (a) Calculate the sample mean and the sample variance for the differences. (b) State the null and alternative hypotheses for a paired t-test. (c) Show that the test statistic is t = -1.56 and hence determine whether the null hypothesis can be rejected at the 5% significance level. =
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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