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9.51 The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a sys- tem in which infrared cameras use body heat and in-store soft- ware to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the pop- ulation mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p-value in this problem.

9.51 The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a sys- tem in which infrared cameras use body heat and in-store soft- ware to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the pop- ulation mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p-value in this problem.

MATLAB: An Introduction with Applications
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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9.51 The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a sys- tem in which infrared cameras use body heat and in-store soft- ware to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the pop- ulation mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p-value in this problem.
Transcribed Image Text:9.51 The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a sys- tem in which infrared cameras use body heat and in-store soft- ware to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the pop- ulation mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p-value in this problem.
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