In a large population of adults, the mean IQ is 124 with a standard deviation of 18. Suppose 40 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.) {a} "he distribution of IQ is approximately normal e . (b) "he distribution of the sample mean IQ is approximately normal : with a mean of: and a standard deviation of (c) The probability that the sample mean IQ is less than 122 is S. {d} The probability that the sample mean IQ is greater than 122 is S. (e) The probability that the sample mean IQ is between 122 and 127 is S. Check The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 10.6 ounces and a standard deviation of 0.1? ounces. [Round all answers to 4 decimal places, if needed.) (a) The probability that a randomly chosen wedge of cheddar cheese is greater than 10.53 is S. {b} If a sample of 19 is randomly chosen, then the distribution of the sample mean weight is approximately normal a with a mean of \\:l and a standard deviation of E. (c) The probability that the sample mean weight of this sample of 19 is less than 10.53 is E. (d) The probability that the sample mean weight of this sample of 19 is greater than 10.53 is E. (e) The probability that the sample mean weight of this sample of 19 is between 10.53 and 10.?2 is E. (f) There is only a 4% chance that the average weight of a sample of these 19 cheese wedges will be below E. Check At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of u = 62 and a standard deviation of a = 17.6. (Round your answers to tour decimal places, if needed.) (a) The distribution of students' grades is is approximately normal . {b} If n = 30 students are selected at random, the distribution of the sample mean grade is approximately normal e with a mean of S and a standard deviation of E. (c) The probability that the sample mean grade for these 30 students is less than 68.0 is S. (d) If n = 30 students are selected at random, the distribution of the sample total grade is approximately normal $ with a mean of E and a standard deviation of E. (e) The probability that the total grade for these 30 students is less than 2040.0 is E. Check Suppose 1% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of \"104 students and found that 2 drink more than 3 cups of coffee each day. What is the sampling distribution of the sample proportion? (Round your answers to four decimal placesr if needed.) The distribution of the sample proportion of students drinking more than 3 cups of coffee each day is approximately normal e with a mean of: and a standard deviation of S. Check Andy is a restaurant owner. He believes 70% of his customers are satisfied with the food quality of his restaurant. From a random sample of 8'] customers, what are the following probabilities? (Round your answers to four decimal places, if needed.) (a) What is the probability that less than 57 customers are satisfied with the food quality? E {b} What is the probability that at least 57 customers are satisfied with the food quality? E (c) What is the probability that the sample proportion of customers who are satisfied with the food quality is between 67% and 75%? E Check