The average amount of money spent for lunch per person in the college cafeteria is $7.37 and the standard deviation is $2.85. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $7.16.  For the group of 16 patrons, find the probability that the average lunch cost is between $6.32 and $7.16.  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 $7.37 and the standard deviation is $2.85. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible

  1. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $7.16. 
  2. For the group of 16 patrons, find the probability that the average lunch cost is between $6.32 and $7.16. 
  3. For part d), is the assumption that the distribution is normal necessary? NoYes

 

 

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