The average amount of money spent for lunch per person in the college cafeteria is $5.85 and the standard deviation is $2.52. Suppose that 46 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 $5.9226 and $6.3584. d. For the group of 46 patrons, find the probability that the average lunch cost is between $5.9226 and $6.3584. 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 $5.85 and the standard deviation is $2.52. Suppose that 46 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 $5.9226 and $6.3584. d. For the group of 46 patrons, find the probability that the average lunch cost is between $5.9226 and $6.3584. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

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Description: please help with d,e The average amount of money spent for lunch per person in the college cafeteria is $5.85 and the standarddeviation is $2.52. Suppose that 46 randomly selected lunch patrons are observed. Assume the distributionof money spent is n

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please help with d,e

The average amount of money spent for lunch per person in the college cafeteria is $5.85 and the standard
deviation is $2.52. Suppose that 46 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 x? a - N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $5.9226 and $6.3584.
d. For the group of 46 patrons, find the probability that the average lunch cost is between $5.9226 and
$6.3584.
e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

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