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The average price of a college math textbook is $157 and the standard deviation is $25. Suppose that 17 textbooks are randomly chosen. Round all

The average price of a college math textbook is $157 and the standard deviation is $25. Suppose that 17 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ? ~ N(,)
  2. For the group of 17, find the probability that the average price is between $150 and $157.
  3. Find the first 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

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