The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? a~ N( b. For the group of 43, find the probability that the average price is between $166 and $171. c. Find the third quartile for the average textbook price for this sample size. $ d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes (round to the nearest cent) Get help: Written Example

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The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 43 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 43, find the probability that the average price is between $166 and $171. 
  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? NoYes
The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 43 textbooks are
randomly chosen. Round all answers to 4 decimal places where possible.
a. What is the distribution of x? a~ N(
b. For the group of 43, find the probability that the average price is between $166 and $171.
c. Find the third quartile for the average textbook price for this sample size. $
d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes
(round to the nearest cent)
Get help: Written Example
Transcribed Image Text:The average price of a college math textbook is $165 and the standard deviation is $29. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? a~ N( b. For the group of 43, find the probability that the average price is between $166 and $171. c. Find the third quartile for the average textbook price for this sample size. $ d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes (round to the nearest cent) Get help: Written Example
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