The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 215.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 215.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Question
The overhead reach distances of adult females are normally distributed with a mean of
205.5 cm
and a standard deviation of
8 cm.
a. Find the probability that an individual distance is greater than
215.50
cm.b. Find the probability that the mean for
20
randomly selected distances is greater than 203.30 cm.c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
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