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The average price of a college math textbook is $161 and the standard deviation is $28....

The average price of a college math textbook is $161 and the standard deviation is $28. Suppose that 17 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 17, find the probability that the average price is between $168 and $173. _____
  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? Yes or No _____

** Enter an integral or decimal number, accurate to at least 4 decimal places.

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