Suppose a random sample of n measurements is selected from a population with mean = 100 and variance 2 = 100. For each of the following values of , give the mean and standard deviation of the sampling distribution of the sample mean x. a. = 4 b. = 25 c. = 100 d. = 50 e. = 500 f. = 1,000 A random sample of = 64 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to 16. a.Give the mean and standard deviation of the (repeated) sampling distribution of . b.Describe the shape of the sampling distribution of x. Does your answer depend on the sample size? c.Calculate the standard normal score corresponding to a value of = 15.5 d.Calculate the standard normal score corresponding to = 23.
