Test the Given Claim About the Means of Two Populations

question 41

Essay

Test the given claim about the means of two populations. Assume that two dependent samples
have been randomly selected from normally distributed populations. $$\begin{array} { l | c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Before } & 71 & 66 & 67 & 77 & 75 \\\hline \text { After } & 75 & 75 & 65 & 80 & 87\end{array}$$ Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math
scores. 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:

Service Industry

The sector of the economy that provides intangible goods or services to consumers, as opposed to the production of tangible goods.

Tandem Drive

A drive system using two separate power sources or motors working together to provide propulsion or increase the vehicle's capability.

Highway Tractor

A type of heavy-duty vehicle designed primarily for hauling trailers over long distances on highways.

Tandem Drive

Tandem drive refers to a vehicle configuration where two sets of drive axles are arranged in a row, commonly seen in heavy-duty trucks, to distribute weight and increase traction.