Question: A random sample is drawn from a normally distributed population with mean =12 and standard deviation =1.5. a. Comment on the sampling distribution

A random sample is drawn from a normally distributed population with mean µ =12 and standard deviation σ =1.5.

a. Comment on the sampling distribution of the sample mean with n=20 and n=40.

b. Can you use the standard normal distribution to calculate the probability that the sample mean is less than 12.5 for both sample sizes?

c. Report the probability if you answered yes to the previous question for either sample size.


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