The average amount of money spent for lunch per person in the college cafeteria is $6.75 and the standard deviation is $2.54. Suppose that 10 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.2652 and $7.7368. Incorrect For the group of 10 patrons, find the probability that the average lunch cost is between $7.2652 and $7.7368.

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The average amount of money spent for lunch per person in the college cafeteria is $6.75 and the standard deviation is $2.54. Suppose that 10 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

  1. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.2652 and $7.7368. Incorrect
  2. For the group of 10 patrons, find the probability that the average lunch cost is between $7.2652 and $7.7368. 
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Step 1

GivenMean(μ)=6.75standard deviation(σ)=2.54sample size(n)=10

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