Question

list the z scores for the normal quantile plot.
-1.28, -0.52, 0, 0.52, 1.28
(round to two decimal places as needed. use ascending order)
identify the coordinates of each point in the normal quantile plot. use ordered pairs of the form (x,y), where x is the sorted arm circumferences, and y is the corresponding z score.
(32.1, -1.28), (33.8, -0.52), (39.1, 0), (40.7, 0.52), (45, 1.28)
(type ordered pairs. round to two decimal places as needed. use ascending order.)
construct the normal quantile plot.
do the data come from a normally distributed population?
a. yes. the points are evenly distributed above and below the mean.
b. yes. the pattern of the points is reasonably close to a straight line.
c. no. the points exhibit some systematic pattern that is not a straight - line pattern.
d. no. the points do not lie close to a straight line.

Explanation:

In a normal quantile plot, if the pattern of the points is reasonably close to a straight - line, the data is considered to come from a normally distributed population. Option A is incorrect because even distribution above and below the mean is not the correct criterion. Options C and D are incorrect as the given data (with the points following a pattern close to a straight - line as per the normal quantile plot construction concept) does not show non - straight - line systematic patterns or points not close to a straight - line.

Answer:

B. Yes The pattern of the points is reasonably close to a straight line.