Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 23

Essay

Preliminary data analyses indicate that you can reasonably use nonpooled t-procedures on the given data. Apply anonpooled t-test to perform the required hypothesis test, using either the critical-value approach or the P-value approachas indicated.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent random samples of 8 students from college A and 13 students from college B yielded the following GPAs: $$\begin{array} { c | c c } \text { College A } & { \text { College B } } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array}$$ At the 10% significance level, do the data provide sufficient evidence to conclude that the mean GPA of students at college A differs from the mean GPA of students at college B? Use the P-value approach. $\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$

---

Definitions:

Straight-Line

A method of calculating depreciation of an asset which assumes the asset will lose an equal amount of value each year over its useful life.

Discount Rate

The interest rate used to discount future cash flows to their present value.

Tax Bracket

A range of incomes taxed at a specific rate; tax brackets result in a progressive tax system, where taxation progressively increases as income grows.

Forecast Error

The difference between the expected or predicted values and what actually occurs, usually in the context of economic or financial forecasts.