Test the Indicated Claim About the Means of Two Populations

question 44

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are
independent simple random samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal. $\begin{array} { l | c c } \text { College A } & { \text { College B } } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array}$ Use a 0.10 significance level to test the claim that the mean GPA of students at college A is
different from the mean GPA of students at college B. $\left( \text { Note: } \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , s _ { 1 } = 0.4357 , s _ { 2 } = 0.5485 . \right)$ Include your null and alternative
hypotheses, the test statistic, p-value or critical value(s), conclusion about the null hypothesis,
and conclusion about the claim in your answer.

---

Definitions:

Rider Kit

Equipment and accessories specifically designed and packaged for use by motorcycle riders.

Digital Marketspace

An online environment where goods and services are exchanged, often through virtual transactions or digital platforms.

Zappos.com

An online retailer known for its wide selection of shoes and clothing, distinguished by its exceptional customer service and company culture.