A random sample is drawn from a normally distributed population with mean -28 and standard deviation o 2.5. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n-35 and n = 70 normally distributed? Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. No, only the sample mean with n-35 will have a normal distribution. O No, only the sample mean with n = 70 will have a normal distribution. b. Calculate the probabilities that the sample mean is less than 28.6 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) 35 70 Probability