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

question 54

Multiple Choice

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. $\begin{array}{|l|r|}\hline \text { Hypothesized Difference } & 0 \\\hline \text { Level of Significance } & 0.05 \\\hline\text { Population 1 Sample }\\\hline \text { Sample Size } & 18 \\\hline \text { Sample Mean } & 99210 \\\hline \text { Sample Standard Deviation } & 13577 \\\text { Population 2 Sample } \\\hline \text { Sample Size } & 12 \\\hline \text { Sample Mean } & 105820 \\\hline \text { Sample Standard Deviation } & 11741 \\\hline\\\hline \text { Difference in Sample Means } & -6610 \\\hline t \text { Test Statistic } & -1.37631 \\\hline\\\hline {\text { Lower-Tail Test }} \\\hline \text { Lower Critical Value } & -1.70113 \\\hline \text { p-Value } & 0.089816 \\\hline\end{array}$
-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)\(H _ { 1 } : \mu _ { \text {females } } \neq \mu _ { \text {males } }\)
• D)\(H _ { 1 } : \mu _ { \text {females } } = \mu _ { \text {males } }\)

---

Definitions:

Undecided White Voters

Undecided white voters refer to a demographic group of white individuals who have not yet made a decision regarding which candidate or party to support in an election.

African American Democratic Candidate

A political candidate who identifies as African American and represents the Democratic Party in an election, contributing to the diversity and representation in political processes.

Overgeneralized Belief

A cognitive distortion where an individual applies a general rule too broadly, often based on a single incident.

Intergroup Anxiety

Intergroup anxiety is the feeling of discomfort or stress that individuals experience when interacting with members of different social or ethnic groups.