Test the Indicated Claim About the Means of Two Populations

question 29

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. $$\begin{array} { | l | l | } \hline { \text { Women } } & { \text { Men } } \\\hline \bar { x } _ { 1 } = 12.5 \mathrm { hrs } & \bar { x } _ { 2 } = 13.8 \mathrm { hrs } \\\hline s _ { 1 } = 3.9 \mathrm { hrs } & s _ { 2 } = 5.2 \mathrm { hrs } \\\hline n _ { 1 } = 14 & n _ { 2 } = 17 \\\hline\end{array}$$ Use a 0.05 significance level to test the claim that the mean amount of time spent watching
television by women is smaller than the mean amount of time spent watching television by
men. 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:

Implied Service Contract

A legal agreement created by the actions, situation, or circumstances of the parties involved rather than written or spoken words.

Expense Warranty Accrual Method

An accounting practice where a company estimates the costs of warranties and records these costs as an expense when the corresponding sales are made.

Modified Cash Basis

An accounting method that combines elements of both cash and accrual accounting, recognizing revenues when they are received and expenses when they are paid, with some adjustments.

Warranty Revenue Recognition

The accounting process of recognizing revenue from warranties provided, typically over the period the warranty covers.