The average amount of money spent for lunch per person in the college cafeteria is $6.3 and the standard deviation is $2.02. Suppose that 6 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 a? - N c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.123 and $7.3154.

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The average amount of money spent for lunch per person
deviation is $2.02. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of
money spent is normal, and round all answers to 4 decimal places where possible.
the college cafeteria is $6.3 and the standard
a. What is the distribution of X? X - N(
b. What is the distribution of a? - N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between
$6.123 and $7.3154.
d. For the group of 6 patrons, find the probability that the average lunch cost is between $6.123 and
$7.3154.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
Submit Question
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F5
F6
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Transcribed Image Text:The average amount of money spent for lunch per person deviation is $2.02. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. the college cafeteria is $6.3 and the standard a. What is the distribution of X? X - N( b. What is the distribution of a? - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.123 and $7.3154. d. For the group of 6 patrons, find the probability that the average lunch cost is between $6.123 and $7.3154. e. For part d), is the assumption that the distribution is normal necessary? O Yes No Submit Question logi F4 F5 F6 E R. T. Y *CO 887 %24
Expert Solution
Step 1

Given data,

μ=6.3σ=2.02n=6

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