Question

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question 12
a researcher wants to explore the relationship between the following two variables, weight 1 and weight 2.
weight 1 weight 2
130 138
160 156
220 224
125 119
205 213
if weight 1 is the weight (in pounds) of a random sample of five men who were accepted as models, and weight 2 is the weight (in pounds) of a random sample of five men who were rejected as models, which of the following is the appropriate inference method to analyze these data?
a. two independent samples
b. inference for regression
c. matched pairs

Explanation:

We have two separate groups - men accepted as models (Weight 1) and men rejected as models (Weight 2). There is no natural pairing between the observations in the two groups. In two - independent samples, we compare the means or other parameters of two non - related groups. For regression, we usually have a response variable and one or more explanatory variables with a focus on predicting values. Matched pairs involve paired data where each pair has a natural connection. Since the two samples of weights are from non - related groups of men, the appropriate method is two independent samples.

Answer:

A. Two independent samples