# 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?

Question

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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Math
Statistics 