Concept explainers
(a)
Interpretation of the z − score.
(a)
Explanation of Solution
Given information:
z − score,
The z − score describes the number of standard deviations that a value is from the mean.
Negative z − score indicates that the value is below the mean.
Whereas,
Positive z − score indicates that the value is above the mean.
Thus,
According to the sample, 22 pairs of shoes that Jackson owns is 1.10 standard deviations above the mean number of the pairs of shoes owned by the other students.
(b)
Mean of the distribution using the information along with Jackson’s z − score.
(b)
Answer to Problem 15E
Mean of the distribution,
Explanation of Solution
Given information:
Value,
Standard deviation,
z − score,
Calculations:
Calculate the z − score:
Substitute values,
Multiply both sides by 9.42:
That becomes
Since the units of the mean and the data values are same.
Thus,
The mean is 11.638 pairs of shoes.
Chapter 2 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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