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

question 178

Short Answer

SCENARIO 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. $\begin{array}{|l|r|}\hline \text { Hypothesized Difference } & 0 \\\hline \text { Level of Significance } & 0.05 \\\hline {\text { Population 1 Sample }} \\\hline \text { Sample Size } & 18 \\\hline \text { Sample Mean } & 99210 \\\hline \text { Sample Standard Deviation } & 13577 \\\hline {\text { Population 2 Sample }} \\\hline \text { Sample Size } & 12 \\\hline \text { Sample Mean } & 105820 \\\hline \text { Sample Standard Deviation } & 11741 \\\hline\\\hline \text { Difference in Sample Means } & -6610 \\\hline t \text { Test Statistic } & -1.37631 \\\hline\\\hline {\text { Lower-Tail Test }} \\\hline \text { Lower Critical Value } & -1.70113 \\\hline \text { p-Value } & 0.089816 \\\hline\end{array}$
-Referring to Scenario 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.Which of the following is an appropriate alternative hypothesis? a) $H _ { 1 } : \mu _ { \text {females } } > \mu _ { \text {males } }$
b) $H _ { 1 } : \mu _ { \text {females } } < \mu _ { \text {males } }$
c) $H _ { 1 } : \mu _ { \text {femalea } } \neq \mu _ { \text {males } }$
d) $H _ { 1 } : \mu _ { \text {females } } = \mu _ { \text {males } }$

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