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Concept explainers
(a)
To find: the deciles of the standard
(a)
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Answer to Problem 59E
The decilesof the standard Normal distribution are
Explanation of Solution
Given:
The deciles of distribution are lowest 10% and the highest 10%
The deciles of a density curve are with area 0.1 and 0.9 to their left
Calculation:
The deciles of the standard Normal Curve is the value of z with 10% and 90% of the distribution to its left. The total area of the standard Normal Curve is 1 and since curve is symmetrical, the area from
Conclusion:
Hence, the deciles are
(b)
To find: the deciles of the distribution
(b)
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Answer to Problem 59E
The deciles for the heights of young women are 61.3 inches and 67.7 inches.
Explanation of Solution
Given:
The deciles of distribution are lowest 10% and the highest 10%
The deciles of a density curve are with area 0.1 and 0.9 to their left
Meanis 64.5 inches
Standard deviation is 2.5 inches.
Calculation:
Suppose the random variable x denotes heights of young women, then it is given that:
The standardized value of unknown xis
Solving for x gives:
The deciles for the heights of young women are 61.3 inches and 67.7 inches.
Conclusion:
Therefore, the deciles for the heights of young women are 61.3 inches and 67.7 inches.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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