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Body fat Do the data shown in the table below indicate an association between Waist size

Chapter 26, Problem 45

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QUESTION:

Body fat Do the data shown in the table below indicate an association between Waist size and %Body Fat? a) Test an appropriate hypothesis and state your conclusion. *b) Give a 95% confidence interval for the mean %Body Fat found in people with 40-inch Waists.

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QUESTION:

Body fat Do the data shown in the table below indicate an association between Waist size and %Body Fat? a) Test an appropriate hypothesis and state your conclusion. *b) Give a 95% confidence interval for the mean %Body Fat found in people with 40-inch Waists.

ANSWER:

Step 1 of 15

(a)
To determine if there is an association between the waist size and body fat percentage of individuals, we must first construct our hypotheses such that:

where  is the true slope of the independent variable (waist size) in the linear model or conceptually, it is the true rate of change of the body fat percentage when the waist size increases by 1 inches. To translate it in words:

 : There is no significant linear relationship between the waist size and body fat percentage of individuals

 : There is a significant linear relationship between the waist size and body fat percentage of individuals

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