to estimate the mean height of male students on your campus, you will measure an srs of students. heights of people of the same sex and similar ages are close to normal. you know from government data that the standard deviation of heights of young men is about 2.8 inchs. Suppose that (unknown to you) the mean height of all male students is 70 inches. A. if you choose one student at random what is the probability that he is between 69 and 71 inches tall? B. you measure 25 students. what is the sampling distribution of their average height Xbar? C. what is the probability that the mean height of your sample is betweeen 69 and 71 inches?

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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to estimate the mean height of male students on your campus, you will measure an srs of students. heights of people of the same sex and similar ages are close to normal. you know from government data that the standard deviation of heights of young men is about 2.8 inchs. Suppose that (unknown to you) the mean height of all male students is 70 inches.  

A. if you choose one student at random what is the probability that he is between 69 and 71 inches tall?

B. you measure 25 students. what is the sampling distribution of their average height Xbar? 

C. what is the probability that the mean height of your sample is betweeen 69 and 71 inches? 

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