MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The average amount of money spent for lunch per person in the college cafeteria is $6.57 and the standard deviation is $2.93. Suppose that 47 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. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) __________ , __________
  3. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.44 and $6.85. _________
  4. For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and $6.85. _______
  5. For part d), is the assumption that the distribution is normal necessary? NoYes
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