The owners of the Westfield Mall wished to study customer shoppinghabits. From earlier studies, the owners were under the impression that a typical shopper spends 0.75 hour at the mall, with a standard deviation of 0.20 hour. Recently the mall owners added some specialty restaurantsdesigned to keep shoppers in the mall longer. The consulting firm, Brunner and Swanson Marketing Enterprises, was hired to evaluate the effects of the restaurants. A sample of 45 shoppers by Brunner and Swanson revealed that the mean time spent in the mall had increased to 0.80 hour.a. Develop a hypothesis test to determine if the mean time spent in the mall changed. Use the .10 significance level.b. Suppose the mean shopping time actually increased from 0.73 hour to 0.78 hours. What is the probability of making a Type II error?c. When Brunner and Swanson reported the information in part (b) to the mall owners, the owners believed that the probability of making a Type II error was too high. How could thisprobability be reduced? 10. The owners of the Westfield Mall wished to study customer shoppinghabits. From earlier studies, the owners were under the impression that atypical shopper spends 0.75 hour at the mall, with a standard deviation of0.20 hour. Recently the mall owners added some specialty restaurantsdesigned to keep shoppers in the mall longer. The consulting firm, Brunnerand Swanson Marketing Enterprises, was hired to evaluate the effects of therestaurants. A sample of 45 shoppers by Brunner and Swanson revealed thatthe mean time spent in the mall had increased to 0.80 hour.a. Develop a hypothesis test to determine if the mean timespent in the mall changed. Use the .10 significance level.b. Suppose the mean shopping time actually increased from0.73 hour to 0.78 hours. What is the probability of making aType II error?c. When Brunner and Swanson reported the information in part(b) to the mall owners, the owners believed that the probabilityof making a Type II error was too high. How could thisprobability be reduced?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The owners of the Westfield Mall wished to study customer shopping habits. From earlier studies, the owners were under the impression that a typical shopper spends 0.75 hour at the mall, with a standard deviation of 0.20 hour. Recently the mall owners added some specialty restaurants designed to keep shoppers in the mall longer. The consulting firm, Brunner and Swanson Marketing Enterprises, was hired to evaluate the effects of the restaurants. A sample of 45 shoppers by Brunner and Swanson revealed that the mean time spent in the mall had increased to 0.80 hour. a. Develop a hypothesis test to determine if the mean time spent in the mall changed. Use the .10 significance level. b. Suppose the mean shopping time actually increased from 0.73 hour to 0.78 hours. What is the probability of making a Type II error? c. When Brunner and Swanson reported the information in part (b) to the mall owners, the owners believed that the probability of making a Type II error was too high. How could this probability be reduced?

10. The owners of the Westfield Mall wished to study customer shopping
habits. From earlier studies, the owners were under the impression that a
typical shopper spends 0.75 hour at the mall, with a standard deviation of
0.20 hour. Recently the mall owners added some specialty restaurants
designed to keep shoppers in the mall longer. The consulting firm, Brunner
and Swanson Marketing Enterprises, was hired to evaluate the effects of the
restaurants. A sample of 45 shoppers by Brunner and Swanson revealed that
the mean time spent in the mall had increased to 0.80 hour.
a. Develop a hypothesis test to determine if the mean time
spent in the mall changed. Use the .10 significance level.
b. Suppose the mean shopping time actually increased from
0.73 hour to 0.78 hours. What is the probability of making a
Type II error?
c. When Brunner and Swanson reported the information in part
(b) to the mall owners, the owners believed that the probability
of making a Type II error was too high. How could this
probability be reduced?

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