Concept explainers
(a)
To find: mean and standard deviation.
(a)
Answer to Problem 1CRE
The standard deviation is
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
Calculation:
To find the mean, use the fact that a z-score of 0 corresponds to a height of $170
Then theresult is shown below.
Thus, the mean of the height distribution for 15 -year-old males is
To find the standard deviation, use the fact that a
Thus, the standard deviation of the height distribution for 15 -year-old males is
Conclusion:
Thus, the standard deviation is
(b)
To find:the height corresponding to a z-score of 2.5.
(b)
Answer to Problem 1CRE
A height of
Explanation of Solution
Calculation:
To find height correspond to a z-score of 2.5 we use the equation.
A height of
Conclusion:
Therefore, a height of
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