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Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height? d) Find the probability that the average height of a random sample of 16 males will be tess than 165.5. e) Find the probability that the average height of a random sample of 25 males will be between 164.5 and 165.5. Why we can apply CLT here?

Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height? d) Find the probability that the average height of a random sample of 16 males will be tess than 165.5. e) Find the probability that the average height of a random sample of 25 males will be between 164.5 and 165.5. Why we can apply CLT here?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Practice Question 1: Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height? d) Find the probability that the average height of a random sample of 16 males will be less than 165.5. e) Find the probability that the average height of a random sample of 25 males will be between 164.5 and 165.5. Why we can apply CLT here?
Transcribed Image Text:Practice Question 1: Assume that the height of AUM male students are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. a) Find the probability that a random male height is less than 162 cm. b) Find the probability that a random male height is between 164 and 166 cm. c) What are the height that only 5% of males exceed this height? d) Find the probability that the average height of a random sample of 16 males will be less than 165.5. e) Find the probability that the average height of a random sample of 25 males will be between 164.5 and 165.5. Why we can apply CLT here?
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