Central limit theorem

7/2/2021 MyOpenMath The average price of a college math textbook is $170 and the standard deviation is $27. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of a? ac - N( b. For the group of 43, find the probability that the average price is between $169 and $175. 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? Yes No 12/2021 MyOpenMath The number of seconds A after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( then the sampling distribution is b. Suppose that 37 classes are clocked. What is the distribution of a for this group of classes? ~ ~ N( c. What is the probability that the average of 37 classes will end with the second hand between 21 and 28 seconds