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The average amount of money spent for lunch per person in the college cafeteria is $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. , 2.64 a. What is the distribution of X? X- N( 7.15 b. What is the distribution of ? - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. 0.1515 e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

The average amount of money spent for lunch per person in the college cafeteria is $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. , 2.64 a. What is the distribution of X? X- N( 7.15 b. What is the distribution of ? - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. 0.1515 e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

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 $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the dist ibution of X? X - N( 7.15 b. What is the distribution of ? I - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this 2.64 V 0.1515 patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the dist ibution of X? X - N( 7.15 b. What is the distribution of ? I - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this 2.64 V 0.1515 patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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