A random sample is drawn from a population with mean g = 69 and standard deviation 0=5.8. [You may find it useful to reference the z1able.] a. What is the expected value and the standard error of the sampling distribution of the sample mean with n=17 and n= 427 (Round the standard error to 3 decimal places.) Answer is complete but not entirely correct. n Expected Value Standard Error b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n =17 will have a normal distribution. No, only the sample mean with n = 42 will have a normal distribution. c. If the sampling distribution of the sample mean is normally distributed with 7 = 17, then calculate the probability that the sample mean falls between 69 and 72 (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed. We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 69 and 72is Answer is complete but not entirely correct. TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -z. For example, P(Z