A random sample is drawn from a normally distributed population with mean μ = 18 and standard deviation σ = 2.3. [You may find it useful to reference the z table .] a. Are the sampling distribution of the sample mean with n = 26 and n = 52 normally distributed? multiple choice 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 = 26 will have a normal distribution. No, only the sample mean with n = 52 will have a normal distribution. b. Calculate the probabilities that the sample mean is less than 18.6 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.)