Instruction 10-2
a Researcher Randomly Sampled 30 Graduates of an MBA

question 9

Multiple Choice

Instruction 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.
$\begin{array}{|l|r|}\hline \text { Hypothesised Difference } & 0 \\\hline \text {Level of Significance } & 0.05 \\\hline \text { Population 1 Sample } &\\\hline \text { Sample Size } & 18 \\\hline \text { Sample Mean } & 48266.7 \\\hline \text { Sample Standard Deviation } & 13577.63 \\\hline \text { Population 2 Sample } &\\\hline \text { Sample Size } & 12 \\\hline \text { Sample Mean } & 55000 \\\hline \text { Sample StandardDeviation } & 11741.29 \\\hline \text { Differencein Sample Means } & -6733.3 \\\hline t \text {-Test Statistic } & -1.40193\\\hline \text {Lower-Tail Test } & \\\hline \text {Lower Critical Value }& -1.70113 \\\hline \text {p-Value }& 0.085962\\\hline \end{array}$
-Referring to Instruction 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 is the proper conclusion for this test?

• A) At the ? = 0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates.
• B) At the ? = 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates.
• C) At the ? = 0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates.
• D) At the ? = 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of male and female MBA graduates.

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Definitions:

GDP Per Person

Gross Domestic Product divided by the population of the country, a measure of the economic output per capita.

Quality of Life

A measure of individual and societal well-being that extends beyond economic factors to include elements like environment, health, and social relationships.

Life Expectancy

The average number of years an individual is expected to live, based on current mortality rates.

Literacy

The ability to read and write, and the comprehension of and proficiency in using language.