Test the Indicated Claim About the Means of Two Populations

question 104

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. $$\begin{array} { | l | l | } \hline \hline { \text { Treatment Group } } & { \text { Control Group } } \\\hline n _ { 1 } = 35 & n _ { 2 } = 75 \\\hline \bar { x } _ { 1 } = 189.1 & \bar { x } _ { 2 } = 203.7 \\\hline s _ { 1 } = 38.7 & s _ { 2 } = 39.2 \\\hline \hline\end{array}$$

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Definitions:

Discriminative Stimulus

A stimulus in operant conditioning that indicates the probability of consequence for a behavior; it signals whether reinforcement or punishment is likely to follow a specific response.

Reinforced

Strengthened or emphasized, often in the context of behavior strengthened by a reward in psychology.

Human Face

A unique feature of the front part of the head in humans that includes eyes, nose, mouth, and expressions.

Successive Approximations

A method in behavioral psychology where behaviors are gradually modified to achieve a desired behavior through small steps.