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In: Statistics and Probability

The average amount of money spent for lunch per person in the college cafeteria is $7.14...

The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere 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 $7.63 and $8.22.
  4. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22.
  5. For part d), is the assumption that the distribution is normal necessary? No

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orchestra answered 2 years ago
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