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.

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Definitions:

Domestic Demand

The total demand for goods and services within a country, including demand from both consumers and businesses.

World Price

The price of a good or service on the international market, influenced by global supply and demand conditions.

International Trade

The exchange of goods and services between countries, allowing for a wider availability of products and economic growth.

Economic Effects

Refers to the consequences of economic policies, activities, or changes on a society, industry, or economy.