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
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.
- 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
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