Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the public of notions that the service is slow. You decide to institute a policy that any customer that waits too long will receive their meal for free. You know that the wait times for customers are normally distributed with a mean of 20 minutes and a standard deviation of 3.8 minutes. Use statistics to decide the maximum wait time you would advertise to customers so that you only give away free meals to at most 0.5% of the customers. a. Determine an estimate of an advertised maximum wait time so that 0.5% of the customers would receive a free meal. Round to one decimal place._____________  minutes b. Include a graph illustrating the solution. For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the 0.5% who would receive the refund. There is a Normal Distribution Graph generator linked in the resources area.

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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Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the public of notions that the service is slow. You decide to institute a policy that any customer that waits too long will receive their meal for free. You know that the wait times for customers are normally distributed with a mean of 20 minutes and a standard deviation of 3.8 minutes. Use statistics to decide the maximum wait time you would advertise to customers so that you only give away free meals to at most 0.5% of the customers.

a. Determine an estimate of an advertised maximum wait time so that 0.5% of the customers would receive a free meal. Round to one decimal place._____________  minutes

b. Include a graph illustrating the solution. For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the 0.5% who would receive the refund. There is a Normal Distribution Graph generator linked in the resources area.

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