The average price of a college math textbook is $153 and the standard deviation is $29. Suppose that 8 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ī - N( b. For the group of 8, find the probability that the average price is between $138 and $147. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No

Please only answer b c d

The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot for the data. Comment on the shape 68 of the distribution. 56 The five-number summary is Choose the correct boxplot of the data below. O A. 40 50 60 ☐☐ 70 Choose the correct description of the shape of the distribution. A. The distribution is skewed to the left. B. The distribution is skewed to the right. C. The distribution is roughly symmetric. D. The shape of the distribution cannot be determined from the boxplot. O B. 40 50 60 70 C. 40 69 68 50 3 60 70 41 59 66 65 57 48 67 66 59 67 44

The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No