Test the Indicated Claim About the Means of Two Populations

question 54

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. Use the traditional method or P-value method as indicated.
-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. Use the traditional method of hypothesis testing.
$$\begin{array} { l } \text { treatment group }& \text {control group } \\n_{1} = 101& n_{2} = 105 \\\bar { x }1 = 120.5 & \bar { x }2 = 149.3 \\\mathrm {~s1} = 17.4 & \mathrm {~s}2 = 30.2 \\\end{array}$$

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Definitions:

Behavior

The actions or reactions of an individual, usually in relation to the environment.

New York Longitudinal Study

A landmark research project that began in the 1950s, focusing on the temperament of infants and how it predicts their future development.

Temperamental Pattern

Refers to the foundational aspects of an individual's personality, such as their mood, activity level, and emotional reactivity, that are believed to be biologically based and remain relatively stable over time.

Difficult

Refers to something that is challenging or demanding effort, skill, or patience to be understood, achieved, or overcome.