Test the Indicated Claim About the Means of Two Populations

question 31

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:

Progeny

The offspring or descendants of an organism.

Genotype

The genetic constitution of an organism, determining its specific traits and potential offspring characteristics.

Albinism

A group of genetic disorders characterized by little or no production of the pigment melanin, affecting the color of the skin, hair, and eyes.

Human Karyotype

is the complete set of all the chromosomes in a human cell, typically presented as 23 pairs including one pair of sex chromosomes.