Exercise 77 Algo A random sample is drawn from a population with mean ,u= 71 and standard deviation o= 5.9. [You may find it useful to reference the 2 table.] a. Is the sampling distribution of the sample mean with n =17 and n= 44 normally distributed? (Round the standard error to 3 decimal places.) b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? 0 Yes, both the sample means will have a normal distribution. 0 No, both the sample means will not have a normal distribution. 0 No, only the sample mean with n =17 will have a normal distribution (9 No, only the sample mean with n = 44 will have a normal distribution. c. If the sampling distribution of the sample mean is normally distributed with n =17, then calculate the probability that the sample mean falls between 71 and 74. (If appropriate, round final answer to 4 decimal places.) 6) We cannot assume that the sampling distribution of the sample mean is normally distributed. 0 We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 71 and 74 is Probability 0.0000