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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman