Suppose the heights of 18-year-old men are approximately nonnaiiy distributed, with mean 69 inches and standard deviation 4 inches. I USE SALT (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.) :1 (b) If a random sample of twenty-nine 18-year-old men is selected, what is the probability that the mean height E is between 68 and 70 inches? {Round your answer to four decimal places.) :1 (e) Compare your answers to parts {a} and (b). Is the probability in part (b) much higher? Why would you expect this? 0 The probability in part (b) is much higher because the standard deviation is smaller for the x distribution. 0 The probability in part (b) is much higher because the mean is smaller for the I distribution. 0 The probability in part (b) is much higher because the standard deviation is larger for the i distribution. O The probability in part (b) is much higher because the mean is larger for the ; distribution. 0 The probability in part (b) is much lower because the standard deviation is smaller for the )7 distribution