The average price of a college math textbook is $171 and the standard deviation is $27. Suppose that 48 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 48, find the probability that the average price is between $165 and $169.  Find the third quartile for the average textbook price for this sample size. $ (round to the nearest cent) For part b), is the assumption that the distribution is normal necessary? NoYes

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The average price of a college math textbook is $171 and the standard deviation is $27. Suppose that 48 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  2. For the group of 48, find the probability that the average price is between $165 and $169. 
  3. Find the third quartile for the average textbook price for this sample size. $ (round to the nearest cent)
  4. For part b), is the assumption that the distribution is normal necessary? NoYes

NOTE....... ANSWER (a, #1 is not 27, incorrect.  part (b, #2 is incorrect, its not 0.3039.......part (c # 3 is not 173.64....also incorrect

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