Exercise 17 Algo A random sample is drawn from a population with mean ti= 71 and standard deviation o= 5.9. [You may nd 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 normalty distributed for both sample sizes? A Yes, both the sample means will have a normal distribution. n' No, both the sample means will not have a normal distribution. H No, only the sample mean with n= 1? 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 = 17. then calculate the probability that the sample mean falls between 71 and 74. [If appropriate. round nal answer to 4 decimal places.) 7H We cannot assume that the sampling distribution Of the sample mean is normatly distributed. Exercise 7-11 Algo Beer bottles are lled so that they contain an average of 360 ml of beer In each bottle. Suppose that the amount of beer In a bottle is normally distributed with a standard deviation of 7 ml. [You may find it useful to reference the 2 table] a. What is the probability that a randomly selected bottle will have less than 356 ml of beer? [Round nal answer to 4 decimal places.) __ b. What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 356 ml? [Round nal answer to 4 decimal places.) __ c. What is the probability that a randomly selected 12-pack of beer will have a mean amount less than 355 ml? [Round final answer to 4 decimal places] __ O No, only the sample mean with n = 17 will have a normal distribution. 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 / = 17, then calculate the probability that the sample mean falls between 71 and 74. (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 71 and 74 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 71 and 74. (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 71 and 74 is Probability