The average price of a college math textbook is $177 and the standard deviation is $29. Suppose that 43 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 43, find the probability that the average price is between $170 and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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The average price of a college math textbook is $177 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 ¯xx¯? ¯xx¯ ~ N(,)
  2. For the group of 43, find the probability that the average price is between $170 and $176. 
  3. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent)
  4. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $
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