At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of = 65 and a standard deviation of = 17.2. (Round your answers to four decimal places, if needed.) (a) The distribution of students' grades is is approximately normal #3 (b) If n = 32 students are selected at random, the distribution of the sample mean grade is approximately normal with a mean of is approximately normal is exactly normal may or may not be normal is left-skewed 3A is right-skewed Suppose 1% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of 133 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 places, if needed.) #4 The distribution of the sample proportion of students drinking more than 3 cups of coffee each day is approximately normal and a standard deviation of approximately normal not normal is approximately normal with a mean of and a standard deviation of may not be normal (c) The probability that the sample mean grade for these 32 students is less than 70.0 is (d) If n = 32 students are selected at random, the distribution of the sample total grade is approximately normal with a mean of and a standard deviation of (e) The probability that the total grade for these 32 students is less than 2240.0 is left-skewed right-skewed 3B,D Andy is a restaurant owner. He believes 71% of his customers are satisfied with the food quality of his restaurant. From a random sample of 98 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.) #5 (a) What is the probability that less than 70 customers are satisfied with the food quality? (b) What is the probability that at least 70 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 69% and 76%?