Test the Indicated Claim About the Means of Two Populations

question 5

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. A researcher wishes to determine
whether people with high blood pressure can reduce their blood pressure, measured in mm Hg,
by following a particular diet. Use a significance level of 0.01 to test the claim that the treatment
group is from a population with a smaller mean than the control group. 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. $$\begin{array} { | l | l | } \hline \text { Treatment Group } &{ \text { Control Group } } \\\hline n _ { 1 } = 35 & n _ { 2 } = 75 \\\hline \bar { x } _ { 1 } = 189.1 & \bar { x } _ { 2 } = 203.7 \\\hline s _ { 1 } = 38.7 & s _ { 2 } = 39.2 \\\hline\end{array}$$

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Definitions:

Sales Return

Goods returned by the customer to the seller after the sale, leading to a reversal of revenue recorded.

Collection

Collection involves the process of gathering or receiving payments, funds, or necessary documents, especially in the context of business receivables or debts.

Perpetual Inventory System

Inventory accounting method where transactions are instantly recorded via computerized point-of-sale systems and enterprise asset management software.

Merchandise

Goods bought and sold by businesses in the course of their trade; often refers specifically to products sold by retail businesses.