The average amount of money spent for lunch per person in the college cafeteria is 56.28 and the standard deviation is $2.13. Suppose that 9 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-NO b. What is the distribution of Z? -N c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.5 and 56.27. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.5 and $6.27. e. For part d), is the assumption that the distribution is normal necessary? O Yes No

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78″F
Sunny
w
S
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3
The average amount of money spent for lunch per person in the college cafeteria is $6.28 and the standard
deviation is $2.13. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution
of money spent is normal, and round all answers to 4 decimal places where possible.
E
a. What is the distribution of X? X-NO
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 $5.5 and $6.27.
d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.5 and
$6.27.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
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Transcribed Image Text:78″F Sunny w S X 3 The average amount of money spent for lunch per person in the college cafeteria is $6.28 and the standard deviation is $2.13. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. E a. What is the distribution of X? X-NO 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 $5.5 and $6.27. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.5 and $6.27. e. For part d), is the assumption that the distribution is normal necessary? O Yes No Question Help:Written Example Message instructor Submit Question Jump to Answer 4 R DE C ‒‒ 5 Q Search G 6 B 7 H S N 00 C 9 M O O a
78°F
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean
8.8 ppm and standard deviation 1.4 ppm. 37 randomly selected large cities are studied. Round all answers
to 4 decimal places where possible.
3
E
a. What is the distribution of X? X-NO
b. What is the distribution of ? I-NO
c. What is the probability that one randomly selected city's waterway will have less than 8.3 ppm
pollutants?
d. For the 37 cities, find the probability that the average amount of pollutants is less than 8.3 ppm.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
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Transcribed Image Text:78°F Sunny @ W S X # The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.8 ppm and standard deviation 1.4 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. 3 E a. What is the distribution of X? X-NO b. What is the distribution of ? I-NO c. What is the probability that one randomly selected city's waterway will have less than 8.3 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is less than 8.3 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No Question Help:Written Example Message instructor Submit Question $ R DE % Jump to Answer ▬▬ Q Search 5 T 40 6 & B 7 G H 4+ * 00 8 ( N 9 JO J K M A L P
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