The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 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 44, find the probability that the average price is between $172 and $174.  Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

Question

The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 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 44, find the probability that the average price is between $172 and $174. 
  3. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

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