Central Limit Theorem for Sample Averages The average price of a college math textbook is $157 and the standard deviation is $26. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? X - N( b. For the group of 15, find the probability that the average price is between $165 and $172. c. Find the third 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 Hint: Some Helpful Videos: . Finding the Sampling Distribution ) [+] . Finding a Probability Using the Central Limit Theorem ) [+] . Finding Value Given a Probability Using the Central Limit Theorem ) [+] . The Central Limit Theorem For Sums ) [+] Hint