The average amount of money spent for lunch per person in the college cafeteria is $6.27 and the standard deviation is $2.23. Suppose that 43 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8399 and $6.29. _____ For the group of 43 patrons, find the probability that the average lunch cost is between $5.8399 and $6.29. ____

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The average amount of money spent for lunch per person in the college cafeteria is $6.27 and the standard deviation is $2.23. Suppose that 43 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. What is the distribution of XX? XX ~ N(,)
  2. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8399 and $6.29. _____
  3. For the group of 43 patrons, find the probability that the average lunch cost is between $5.8399 and $6.29. ____
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