a. What is the distribution of ¤? ¤ - N( b. For the group of 12, find the probability that the average price is between $170 and $179. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

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Please answer A, B, & C. 

The average price of a college math textbook is $160 and the standard
deviation is $22. Suppose that 12 textbooks are randomly chosen. Round all
answers to 4 decimal places where possible.
a. What is the distribution of x? ¤ - N(
b. For the group of 12, find the probability that the average price is
between $170 and $179.
c. Find the first quartile for the average textbook price for this sample
size. $
(round to the nearest cent)
d. For part b), is the assumption that the distribution is normal
necessary? O Yes
O No o
Transcribed Image Text:The average price of a college math textbook is $160 and the standard deviation is $22. Suppose that 12 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? ¤ - N( b. For the group of 12, find the probability that the average price is between $170 and $179. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O Yes O No o
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