The average amount of money spent for lunch per person in the college cafeteria is $6.81 and the standard deviation is $2.32. Suppose that 11 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 $7.0108 and $7.6106. d. For the group of 11 patrons, find the probability that the average lunch cost is between $7.0108 and $7.6106. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

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The average amount of money spent for lunch per person in the college cafeteria is $6.81 and the standard
deviation is $2.32. Suppose that 11 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 $7.0108 and $7.6106.
d. For the group of 11 patrons, find the probability that the average lunch cost is between $7.0108 and
57.6106.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $6.81 and the standard deviation is $2.32. Suppose that 11 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 $7.0108 and $7.6106. d. For the group of 11 patrons, find the probability that the average lunch cost is between $7.0108 and 57.6106. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
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