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.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 $6.44 and $6.85. _________For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and $6.85. _______For part d), is the assumption that the distribution is normal necessary? NoYes

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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 $6.57 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.

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 $6.44 and $6.85. _________
For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and $6.85. _______
For part d), is the assumption that the distribution is normal necessary? NoYes

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