The customers at a bank complained about long lines and the time they had to spend waiting for service. It is known that the customers at this bank had to wait 11 minutes, on average, before being served. The management made some changes to reduce the waiting time for its customers. A sample of 61 customers taken after these changes were made produced a mean waiting time of 10.2 minutes with a standard deviation of 2.9 minutes. Using this sample mean, the bank manager displayed a huge banner inside the bank mentioning that the mean waiting time for customers has been reduced by new changes. Do you think the bank manager’s claim is justifiable? Use a 0.5% significance level to answer this question. Use both approaches. Use the p-value approach. Use the t distribution table to find a range for the p-value. Enter the exact values for the range. Enter your answer; the range for the p-value, lower bound< p-value

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
Topic Video
Question

The customers at a bank complained about long lines and the time they had to spend waiting for service. It is known that the customers at this bank had to wait 11 minutes, on average, before being served. The management made some changes to reduce the waiting time for its customers. A sample of 61 customers taken after these changes were made produced a mean waiting time of 10.2 minutes with a standard deviation of 2.9 minutes. Using this sample mean, the bank manager displayed a huge banner inside the bank mentioning that the mean waiting time for customers has been reduced by new changes. Do you think the bank manager’s claim is justifiable? Use a 0.5% significance level to answer this question. Use both approaches.

Use the p-value approach. Use the t distribution table to find a range for the p-value. Enter the exact values for the range.

Enter your answer; the range for the p-value, lower bound< p-value <Enter your answer; the range for the p-value, upper bound


Use the critical-value approach. Round your answers to three decimal places.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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