Concept explainers
(a)
To find: the
(a)
Answer to Problem 2CRE
The z- score is 1.20
Explanation of Solution
Given:
A z-score of 0 corresponds to a height of 170 centimeters
A z-score of 1 corresponds to a height of 177.5cm
P is 15 years old and
Calculation:
To find the mean, use the fact that a z-score of 0 corresponds to a height of 170.
Then the resultis shown below:
To find it he standard deviation, use the fact that a 2 -score of 1 corresponds to a height of 177.5
Thon the result is shown below.
Thus, the mean and standard deviation of the height distribution for 15 year old males are 170 cm and 76 cm respectively
The standardized height low Pate is shown below
P is somewhat taller than average for his age. His height is 1.20 standard deviations abovethe average male height for his age.
Conclusion:
Thus, the z- score is 1.20
(b)
To explain:the given statement.
(b)
Answer to Problem 2CRE
Here,
Explanation of Solution
Given:
P's height puts him at the 85 th percentile among 15 -year-old males.
Calculation:
SinceP’s height puts him at the
Conclusion:
Therefore,
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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