Exercise 7-7 Algo A random sample is drawn from a population with mean ,u= 58 and standard deviation a= 4.8. [You may nd it useful to reference the Estate.) a. Is the sampling distribution of the sample mean with n = 22 and :3: 44 non-naily distributed? {Round the standard error to 3 decimal places 1 b. Can you conclude that the sampling distribution of the sample mean is normaliy distributed for both sample sizes? A Yes, both the sample means will have a normal distribution. H No, both the sample means will not have a normal distribution. n No, only the sample mean with n= 22 will have a normal distribution. 0 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 = 22, then calculate the probability that the sample mean falls between 58 and 60. (If appropriate. round nal answer to 4 decimal places.) 0 We cannot assume that the sampling distribution of the sample mean is normally distributed. . 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 = 22, then calculate the probability that the sample mean falls between 58 and 60. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed. O We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 58 and 60 is Probability d. If the sampling distribution of the sample mean is normally distributed with n = 44, then calculate the probability that the sample mean falls between 58 and 60. (If appropriate, round final answer to 4 decimal places.) O 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 58 and 60 is Probability 0.4971