A variable of a population has a mean of µ = 100 and a standard deviation of σ = 28. a. Identify the sampling distribution of the sample mean for samples of size 49.b. In answering part (a), what assumptions did you make about the distribution of the variable?c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A variable of a population has a mean of µ = 100 and a standard deviation of σ = 28.

a. Identify the sampling distribution of the sample mean for samples of size 49.
b. In answering part (a), what assumptions did you make about the distribution of the variable?
c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not?

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