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

question 34

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 90% confidence interval estimate for the difference between two means?

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Definitions:

Residual Standard Deviation

A measure of the amount of variability or dispersion for individual data points in a regression model that cannot be explained by the predictive equation.

Beta

A rephrased measure indicating the relative risk or volatility of a security or portfolio in comparison to the broader market.

Sharpe Measure

A metric that evaluates the risk-adjusted return of an investment by comparing its excess return (over risk-free rate) to its standard deviation of returns.

Residual Standard Deviation

A measure of the amount of variance in a dataset or model that is not explained by the predictive variables or the model itself, often used in regression analysis.