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The average amount of money spent for lunch per person in the college cafeteria is $7.22 and the standard deviation is $2.32. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.31 and $7.62. d. For the group of 42 patrons, find the probability that the average lunch cost is between $7.31 and $7.62. e. For part d), is the assumption that the distribution is normal necessary? Yes No Question Help: Written Example Message instructor

The average amount of money spent for lunch per person in the college cafeteria is $7.22 and the standard deviation is $2.32. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.31 and $7.62. d. For the group of 42 patrons, find the probability that the average lunch cost is between $7.31 and $7.62. e. For part d), is the assumption that the distribution is normal necessary? Yes No Question Help: Written Example Message instructor

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 $7.22 and the standard deviation is $2.32. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.31 and $7.62. d. For the group of 42 patrons, find the probability that the average lunch cost is between $7.31 and $7.62. e. For part d), is the assumption that the distribution is normal necessary? Yes No Question Help: Written Example Message instructor Submit Question
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $7.22 and the standard deviation is $2.32. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.31 and $7.62. d. For the group of 42 patrons, find the probability that the average lunch cost is between $7.31 and $7.62. e. For part d), is the assumption that the distribution is normal necessary? Yes No Question Help: Written Example Message instructor Submit Question
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