It is commonly expected that as a person ages, their muscle mass decreases. To further examine this relationship in women, a nutritionist randomly selected 60 female patients from her clinic, 15 women from each 10-year age group beginning with age 40 and ending with age 80. For each patient, her age and current muscle mass was recorded. A scatterplot, least squares regression line, and coefficient of determination are as follows.
-If you were to conduct a simulation-based test using the correlation coefficient as your statistic, would the p-value be larger, smaller, or remain the same as the p-value reported in question 58?
A) Larger
B) Smaller
C) Remain the same
D) Not enough information provided

Question

It is commonly expected that as a person ages, their muscle mass decreases. To further examine this relationship in women, a nutritionist randomly selected 60 female patients from her clinic, 15 women from each 10-year age group beginning with age 40 and ending with age 80. For each patient, her age and current muscle mass was recorded. A scatterplot, least squares regression line, and coefficient of determination are as follows. 
-If you were to conduct a simulation-based test using the correlation coefficient as your statistic, would the p-value be larger, smaller, or remain the same as the p-value reported in question 58?
A) Larger 
B) Smaller 
C) Remain the same 
D) Not enough information provided

Quizplus · Accepted Answer

The p-value would remain the same because the correlation coefficient is the same statistic used in both the simulation-based test and the test in question 58.

It Is Commonly Expected That as a Person Ages, Their