1. In a large population of adults, the mean IQ is 114 with a standard deviation of 19. Suppose 45 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.)
   • a) The distribution of IQ _____________________ (is approximately normal/is exactly normal/may or may not be normal/is certainly skewed).
   • b) The distribution of the sample mean IQ _____________________ (is approximately normal/exactly normal/not normal/left-skewed/right-skewed) with a mean of _________ and a standard deviation of _________.
   • c) The probability that the sample mean IQ is less than 113 is _________.
   • d) The probability that the sample mean IQ is greater than 113 is _________.
   • e) The probability that the sample mean IQ is between 113 and 116 is _________.
2. The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 8.2 ounces and a standard deviation of 0.18 ounces. (Round all answers to 4 decimal places, if needed.
   • a) The probability that a randomly chosen wedge of cheddar cheese is greater than 8.17 is _________.
   • b) If a sample of 18 is randomly chosen, then the distribution of the sample mean weight _____________________ (is approximately normal/not normal/left-skewed/right-skewed) with a mean of and a standard deviation of _________.
   • c) The probability that the sample mean weight of this sample of 18 is less than 8.17 is _________.
   • d) The probability that the sample mean weight of this sample of 18 is greater than 8.17 is _________.
   • e) The probability that the sample mean weight of this sample of 18 is between 8.17 and 8.27 is _________.
   • f) There is only a 4% chance that the average weight of a sample of these 18 cheese wedges will be below _________.
3. At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of = 60 and a standard deviation of = 15.0. (Round your answers to four decimal places, if needed.)
   • a) The distribution of students' grades is _____________________ (approximately normal/is exactly normal/may or may not be normal/is left-skewed/is right-skewed).
   • b) If n = 32 students are selected at random, the distribution of the sample mean grade _____________________ (is approximately normal/not normal/left-skewed/right-skewed) with a mean of _________ and a standard deviation of _________.
   • c) The probability that the sample mean grade for these 32 students is less than 64.0 is _________.
   • d) If n = 32 students are selected at random, the distribution of the sample total grade _____________________ (is approximately normal/not normal/left-skewed/right-skewed) with a mean of _________ and a standard deviation of _________.
   • e) The probability that the total grade for these 32 students is less than 2048.0 is _________.
4. Suppose 1% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of 142 students and found that 3 drink more than 3 cups of coffee each day. What is the sampling distribution of the sample proportion? (Round your answers to four decimal places, if needed.) The distribution of the sample proportion of students drinking more than 3 cups of coffee each day is _____________________ (approximately normal/may not be normal) with a mean of _________ and a standard deviation of _________.
5. Andy is a restaurant owner. He believes 75% of his customers are satisfied with the food quality of his restaurant. From a random sample of 97 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.)
   • a) What is the probability that less than 73 customers are satisfied with the food quality? _________.
   • b) What is the probability that at least 73 customers are satisfied with the food quality? _________.
   • c) What is the probability that the sample proportion of customers who are satisfied with the food quality is between 72% and 79%? _________.