A variable (X) of a population has a mean of 35 and a standard deviation of 42. a. If the variable is normally distributed, describe (shape, center, spread) the sampling distribution of the sample mean for samples of size 9. b. Can you answer part (a) if the distribution of the variable under consideration is unknown? Explain. c. Can you answer part (a) if the distribution of the variable under consideration is unknown, but the sample size is 36 instead of 9? Explain.

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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A variable (X) of a population has a mean of 35 and a standard deviation of 42.

a. If the variable is normally distributed, describe (shape, center, spread) the sampling distribution of the sample mean for samples of size 9.

b. Can you answer part (a) if the distribution of the variable under consideration is unknown? Explain.

c. Can you answer part (a) if the distribution of the variable under consideration is unknown, but the sample size is 36 instead of 9? Explain.

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