The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 16 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. What is the distribution of ¯x? ¯x ~ N(         ?   ,    ?    ) For the group of 16, find the probability that the average price is between $161 and $171? Find the third quartile for the average textbook price for this sample size? $ (round to the nearest cent)

MATLAB: An Introduction with Applications
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The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 16 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ¯x? ¯x ~ N(         ?   ,    ?    )
  2. For the group of 16, find the probability that the average price is between $161 and $171?
  3. Find the third quartile for the average textbook price for this sample size? $ (round to the nearest cent)
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