A variable of a population has a mean of μ=70 and a standard deviation of σ=12.   a. Identify the sampling distribution of the sample mean for samples of size 36. 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 25 instead of 36​? Why or why​ not?       Question content area bottom Part 1 a. What is the shape of the sampling​ distribution?     uniform   bimodal   normal   skewed Part 2 What is the mean of the sampling​ distribution?   μx=enter your response here ​(Simplify your​ answer.) Part 3 What is the standard deviation of the sampling​ distribution?   σx=enter your response here ​(Simplify your​ answer.) Part 4 b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable?     A. It was assumed that the distribution of the variable was unimodal.   B. No assumptions were made​ because, for a relatively large sample​ size, the sampling distribution is​ normal, re

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