The average amount of money spent for lunch per person in the college cafeteria is $6.52 and the standard deviation is $2.64. Suppose that 17 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.   For the group of 17 patrons, find the probability that the average lunch cost is between $7.3796 and $8.1098.  For part d), is the assumption that the distribution is normal necessary? NoYes

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 amount of money spent for lunch per person in the college cafeteria is $6.52 and the standard deviation is $2.64. Suppose that 17 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

 

  1. For the group of 17 patrons, find the probability that the average lunch cost is between $7.3796 and $8.1098. 
  2. For part d), is the assumption that the distribution is normal necessary? NoYes
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