A random sample is drawn from a normally distributed population with mean [1: 11 and standard deviation 0: 1.7. [You may find it useful to reference the 2 table.] a. Are the sampling distribution of the sample mean with n = 20 and n = 35 normally distributed? 3 poms 0 Yes, both the sample means will have a normal distribution. I O No, both the sample means will not have a normal distribution. B k 0 No, only the sample mean with n = 20 will have a normal distribution. e 00 O No, only the sample mean with n = 35 will have a normal distribution. Print References b. Calculate the probabilities that the sample mean is less than 11.6 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, \"i' value to 2 decimal places, and nal answer to 4 decimal places.) n Probablllty 20 35