Hypothesis testing

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. Assume population variances are equal.

Size Mean Std. Dev.

Females 18 48,266.7 13,577.63

Males 12 55,000 11,741.29

1- If the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates, which of the following is an appropriate alternative hypothesis?

a)H1: female - male < 0

b)H1: female - male > 0

c)H1: female - male 0

d)H1: 1female - male 0

2- The Decision rule at the 5% significance level is given by

a)Reject H0 if Z < - 1.645

b)Reject H0 if Z < -1.671

c)Reject H0 if t < -1.701

d)Reject H0 if Z > 1.645

3- The pooled variance is given by:

a) 166086479.2

b) 12887.45433

c) 25318.92

d)161104963.6

4- The calculated test statistic is:

a) - 6,733.33

b) - 1.45

c) 1.40

d) - 1.40

5- The Decision at the 5% significance level is:

a)There is insufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates.

b)There is insufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates.

c)There is insufficient evidence to indicate any difference in the mean starting salaries of male and female MBA graduates.

d)There is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates.