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. ____

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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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