The average price of a college math textbook is $173 and the standard deviation is $30. Suppose that 18 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 18, find the probability that the average price is between $174 and $183.
- 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? YesNo

The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

- For the group of 15, find the probability that the average price is between $163 and $171.
- Find the 95th percentile for the
**average**textbook price for this sample size. $ (round to the nearest cent) - Find the 95th percentile for an individual textbook price. (round to the nearest cent) $

The average price of a college math textbook is $180 and the standard deviation is $26. Suppose that 18 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 18, find the probability that the average price is between $182 and $187.
- 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? YesNo

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