The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm.Find the probability that a individual distance 207.50 cm.Find the probability that a mean for 20 randomly selected distances is greater than 195.30cm.Why can the normal distribution be used in part B even though the sample size does not exceed 30

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm.Find the probability that a individual distance 207.50 cm.Find the probability that a mean for 20 randomly selected distances is greater than 195.30cm.Why can the normal distribution be used in part B even though the sample size does not exceed 30
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