The average amount of money spent for lunch per person in the college cafeteria is $7.33 and the standard deviation is $2.2. Suppose that 13 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 distribution of X? X - N 7.33 2.2 88 b. What is the distribution of ? N 7.33 ✓0.6102 ✓ c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.0247 and $8.4798. d. For the group of 13 patrons, find the probability that the average lunch cost is between $8.0247 am $8.4798. normal necessary? Not of e. For part d), is the assumption that the distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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 $7.33 and the standard
deviation is $2.2. Suppose that 13 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 distribution of X? X-NO 7.33
2.2
✓)
b. What is the distribution of ? - N 7.33
0.6102
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $8.0247 and $8.4798.
d. For the group of 13 patrons, find the probability that the average lunch cost is between $8.0247 an
$8.4798.
Yes No o
e. For part d), is the assumption that the distribution is normal necessary?
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Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $7.33 and the standard deviation is $2.2. Suppose that 13 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 distribution of X? X-NO 7.33 2.2 ✓) b. What is the distribution of ? - N 7.33 0.6102 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.0247 and $8.4798. d. For the group of 13 patrons, find the probability that the average lunch cost is between $8.0247 an $8.4798. Yes No o e. For part d), is the assumption that the distribution is normal necessary? Submit Question
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