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А. The population variances are approximately equal. В. Both populations of salaries (male and female) must have approximate normal distributions. С. The samples were randomly and independently selected. O D. All of the above assumptions were necessary.

А. The population variances are approximately equal. В. Both populations of salaries (male and female) must have approximate normal distributions. С. The samples were randomly and independently selected. O D. All of the above assumptions were necessary.

MATLAB: An Introduction with Applications
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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Seleccione una: А. The population variances are approximately equal. В. Both populations of salaries (male and female) must have approximate normal distributions. O C. The samples were randomly and independently selected. O D. All of the above assumptions were necessary.
Transcribed Image Text:Seleccione una: А. The population variances are approximately equal. В. Both populations of salaries (male and female) must have approximate normal distributions. O C. The samples were randomly and independently selected. O D. All of the above assumptions were necessary.
TABLE 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. Hypothesized Difference Level of Significance 0.05 Population 1 Sample Sample Size Sample Mean Sample Standard Deviation 18 99210 13577 Population 2 Sample Sample Size Sample Mean Sample Standard Deviation 12 105820 11741 Difference in Sample Means tTest Statistic -6610 -1.37631 Lower-Tail Test Lower Critical Value p-Value -1.70113 0.089816 Referring to Table 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. What assumptions were necessary to conduct this hypothesis test?
Transcribed Image Text:TABLE 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. Hypothesized Difference Level of Significance 0.05 Population 1 Sample Sample Size Sample Mean Sample Standard Deviation 18 99210 13577 Population 2 Sample Sample Size Sample Mean Sample Standard Deviation 12 105820 11741 Difference in Sample Means tTest Statistic -6610 -1.37631 Lower-Tail Test Lower Critical Value p-Value -1.70113 0.089816 Referring to Table 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. What assumptions were necessary to conduct this hypothesis test?
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