A researcher randomly sampled 30 graduates of an MBA program and recorded data c

Question

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. Analysis of the mean salaries of the females and males in the sample is given below.

Referring to the table, 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?
    a. Both populations of salaries (male and female) must have approximate normal distributions.
    b. The population variances are approximately equal.
    c. The samples were randomly and independently selected.
    d. All of the above assumptions were necessary.

Size Mean Std Dev Females 18 48,266.7 13,577.63 Males 12 55,000 11,741.29 Std Error = 4,764.82 Means Diff = -6,733.3 Z = -1.4528 2-tailed p value = 0.1463 T = -1.4221 2-tailed p value = 0.1574

Explanation / Answer

answer is d

d)all of the above assumptions were necessary.

i.e all assumptions in a,b &c are necessary for the hypothesis test.

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