Question

a random sample of male systolic blood pressure values is given below. generate the normal quantile plot for this data set and determine whether or not the data come from a normally distributed population.
which of the following is the normal quantile plot for this data set?
do the data appear to come from a normally distributed population?
a. no, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern.
b. no, because the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
c. yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.
d. yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.

Explanation:

Step1: Analyze normal quantile plot

In a normal quantile plot, if the data comes from a normally - distributed population, the points should lie reasonably close to a straight line.

Step2: Check each option

• Option A: Incorrect. If the points do not lie close to a straight line or show a non - straight - line systematic pattern, the data is not from a normal population.
• Option B: Incorrect. If the points do not lie close to a straight line or show a non - straight - line systematic pattern, the data is not from a normal population.
• Option C: Incorrect. If the points do not lie close to a straight line (i.e., show a non - straight - line systematic pattern), the data is not from a normal population.
• Option D: Correct. When the pattern of the points in the normal quantile plot is reasonably close to a straight line, the data can be considered to come from a normally - distributed population.

Answer:

D. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.