# The average price of a college

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.

1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
2. For the group of 18, find the probability that the average price is between \$174 and \$183.
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? YesNo

# The average price of a college

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.

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

# The average price of a college

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.

1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
2. For the group of 18, find the probability that the average price is between \$182 and \$187.
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? YesNo

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