The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 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 44, find the probability that the average price is between $172 and $174.  Find the first 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 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 44, find the probability that the average price is between $172 and $174. 
  3. Find the first 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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