Question
A sample of human brain volumes (cm3) is given below. Use the given data values to...
A sample of human brain volumes (cm3) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution.
1055
1032
1079
1086
967
1086
1054
1445
(1) List the z scores for the normal quantile plot.
(2) Identify the coordinates of each point in the normal quantile plot. Use ordered pairs for the form (x,y), where x is the sorted human brain volumes in ascending order, and y is the corresponding z score.
(3) Do the data appear to come from a normally distributed population?
A.
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.
B.
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.
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.
Homework Answers
Answer #1
z scores for the normal quantile plot is obtained using following formula.
| Sorted X | 967 | 1032 | 1045 | 1054 | 1055 | 1079 | 1086 | 1086 |
| Z score | -2.13 | -0.47 | -0.14 | 0.09 | 0.12 | 0.73 | 0.91 | 0.91 |
Normal quantile plot:
Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.
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