1. A normal population has a mean of 73 and standard deviation of 14. You select random samples of nine. (a) Describe the sampling distribution of the sample mean with n = 9, i.e. specify the expected value of sample means of size 9, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability that a sample mean is between 69 and 76?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1. A normal population has a mean of 73 and standard deviation of 14. You select random
samples of nine.
(a) Describe the sampling distribution of the sample mean with n = 9, i.e. specify the
expected value of sample means of size 9, the standard error, and the shape of the
distribution (if the shape is normal, explain why).
(b) What is the probability that a sample mean is between 69 and 76?
Transcribed Image Text:1. A normal population has a mean of 73 and standard deviation of 14. You select random samples of nine. (a) Describe the sampling distribution of the sample mean with n = 9, i.e. specify the expected value of sample means of size 9, the standard error, and the shape of the distribution (if the shape is normal, explain why). (b) What is the probability that a sample mean is between 69 and 76?
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