The average price of a college math textbook is $165 and the standard deviation is $21. Suppose that 42 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 42, find the probability that the average price is between $170 and $172. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? Yes No (round to

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