7.11 Suppose that we will randomly select a sample of 64 measurements from a population having is mean equal to 20 and a standard deviation equal to 4. a Describe the shape of the sampling...

7.11 Suppose that we will randomly select a sample of 64 measurements from a population having is mean equal to 20 and a standard deviation equal to 4. a Describe the shape of the sampling distribution of the sample mean i. Do we need to make any assumptions about the shape of the population? Why or why not? b Find the mean and the standard deviation of the sampling distribution of the sample mean C Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate pa > 21). Hint: Find the z value corresponding to 21 by using and and or because we wish to calculate a probability about Then sketch the sampling distribution and the probability. d Calculate the probability that we will obtain a sample mean less than 19.385; that is, calculate pa