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

question 28

Short Answer

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,what is the 95% confidence interval estimate for the difference between two means?

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Definitions:

Merton's Theory

A sociological theory developed by Robert K. Merton, which addresses the ways that societal structures may lead to certain behaviors among individuals, particularly focusing on deviance and anomie.

Election Fraud

The illegal interference with the process of an election, activities that directly affect the outcome in a way that does not reflect the true will of the voters.

Street Robbery

An act of theft that occurs in a public place, typically involving force or threat of force.

Strain Theory

A sociological theory suggesting that societal structures may pressure citizens to commit crimes by placing emphasis on goals but not providing adequate means.