to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.

to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.

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.

Hypothesized Difference

0

Level of significance

0.05

Population 1
Sample

Sample size

18

Sample Mean

48266.7

Sample Standard Deviation

13577.63

Population 2
Sample

Sample Size

12

Sample Mean

55000

Sample Standard Deviation

11741.29

Difference in Sample
Means

-6733.3

t- Test Statistic

-1.40193

Lower-Tail Test

Lower Critical value

-1.70113

p-value

0.085962



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. From the analysis in Table
10-2, the correct test statistic is:


0.0860


-1.4019


-1.7011


-6,733.33


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