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The average amount of money spent for lunch per person in the college cafeteria is $7.25 and the standard deviation is $2.53. Suppose that 40 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(,) 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 $7.67 and $8.04. For the group of 40 patrons, find the probability that the average lunch cost is between $7.67 and $8.04. For part d), is the assumption that the distribution is normal necessary? YesNo

The average amount of money spent for lunch per person in the college cafeteria is $7.25 and the standard deviation is $2.53. Suppose that 40 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(,) 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 $7.67 and $8.04. For the group of 40 patrons, find the probability that the average lunch cost is between $7.67 and $8.04. For part d), is the assumption that the distribution is normal necessary? YesNo

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average amount of money spent for lunch per person in the college cafeteria is $7.25 and the standard deviation is $2.53. Suppose that 40 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 $7.67 and $8.04. 
  4. For the group of 40 patrons, find the probability that the average lunch cost is between $7.67 and $8.04. 
  5. For part d), is the assumption that the distribution is normal necessary? YesNo
  6.  
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