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

question 116

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 assumptions were necessary to conduct this hypothesis test?

• A) The samples were randomly and independently selected.
• B) The population variances are approximately equal.
• C) Both populations of salaries (male and female) must have approximate normal distributions.
• D) All of the above assumptions were necessary.

---

Definitions:

Tabular Layout

A design arrangement that organizes information in rows and columns, making it easy to read and compare.

Form Design Tools

A collection of software tools or features used to create digital forms for data entry, enabling customization of layout, fields, and functionality.

Query Design View

In database management systems, a graphical interface that allows users to create and modify database queries without needing to write SQL code directly.

Control Padding

The space between the contents of a control element and its boundary, affecting the layout and visual appearance of graphical user interface elements.