Compute the test statistic. Find the​ P-value of the test statistic. Does the use of the single line appear to red

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

Compute the test statistic.

Find the​ P-value of the test statistic.

Does the use of the single line appear to reduce the variation among waiting​ times?

### Hypothesis Testing on Bank Waiting Times

The given scenario involves analyzing customer waiting times at a bank with a single waiting line for three teller windows. The goal is to test whether the standard deviation of waiting times is less than 2.3 minutes, which is the standard deviation for separate waiting lines for each teller. A significance level of 0.025 is used for the analysis.

#### Steps to Complete the Analysis

a. **Identify the Null and Alternative Hypotheses**

- **Null Hypothesis (H₀):** σ = 2.3 minutes
- **Alternative Hypothesis (Hₐ):** σ < 2.3 minutes

The correct choice is marked as option A on the diagram.

b. **Compute the Test Statistic**

- The diagram includes a space for calculating the chi-square (χ²) test statistic, meant to be rounded to two decimal places as needed.

This process requires analyzing the data, which can be accessed through a clickable icon, followed by statistical calculations to determine whether the null hypothesis can be rejected in favor of the alternative hypothesis.

*Note: Further computation details are provided as part of the test statistic analysis.*
Transcribed Image Text:### Hypothesis Testing on Bank Waiting Times The given scenario involves analyzing customer waiting times at a bank with a single waiting line for three teller windows. The goal is to test whether the standard deviation of waiting times is less than 2.3 minutes, which is the standard deviation for separate waiting lines for each teller. A significance level of 0.025 is used for the analysis. #### Steps to Complete the Analysis a. **Identify the Null and Alternative Hypotheses** - **Null Hypothesis (H₀):** σ = 2.3 minutes - **Alternative Hypothesis (Hₐ):** σ < 2.3 minutes The correct choice is marked as option A on the diagram. b. **Compute the Test Statistic** - The diagram includes a space for calculating the chi-square (χ²) test statistic, meant to be rounded to two decimal places as needed. This process requires analyzing the data, which can be accessed through a clickable icon, followed by statistical calculations to determine whether the null hypothesis can be rejected in favor of the alternative hypothesis. *Note: Further computation details are provided as part of the test statistic analysis.*
**Customer Waiting Times (in minutes)**

This table displays the waiting times in minutes for customers. It consists of multiple columns with the recorded times:

| 7.8 | 7.5 | 5.5 | 7.1 |
|-----|-----|-----|-----|
| 6.5 | 7.3 | 6.5 | 6.2 |
| 6.9 | 7.1 | 8.3 | 6.2 |
| 7.8 | 7.8 | 5.6 | 7.8 |
| 6.6 | 6.6 | 7.5 | 7.7 |
| 6.3 | 7.8 | 7.6 | 11.9 |
| 7.1 | 7.8 | 6.9 | 7.6 |
| 6.8 | 7.8 | 8.2 | 7.4 |
| 6.8 | 7.3 | 6.5 | 6.4 |
| 7.3 | 6.9 | 6.6 | 7.2 |
| 8.8 | 6.5 | 11.8| 6.7 |
| 8.8 | 6.8 | 6.9 | 6.4 |
| 6.3 | 7.6 | 7.6 | 6.2 |
| 7.9 | 6.1 | 6.2 | 6.3 |
| 6.7 | 8.1 | 7.5 | 7.5 |

This data can be useful for analyzing trends in wait times, assessing efficiency, and identifying areas for improvement in service delivery.
Transcribed Image Text:**Customer Waiting Times (in minutes)** This table displays the waiting times in minutes for customers. It consists of multiple columns with the recorded times: | 7.8 | 7.5 | 5.5 | 7.1 | |-----|-----|-----|-----| | 6.5 | 7.3 | 6.5 | 6.2 | | 6.9 | 7.1 | 8.3 | 6.2 | | 7.8 | 7.8 | 5.6 | 7.8 | | 6.6 | 6.6 | 7.5 | 7.7 | | 6.3 | 7.8 | 7.6 | 11.9 | | 7.1 | 7.8 | 6.9 | 7.6 | | 6.8 | 7.8 | 8.2 | 7.4 | | 6.8 | 7.3 | 6.5 | 6.4 | | 7.3 | 6.9 | 6.6 | 7.2 | | 8.8 | 6.5 | 11.8| 6.7 | | 8.8 | 6.8 | 6.9 | 6.4 | | 6.3 | 7.6 | 7.6 | 6.2 | | 7.9 | 6.1 | 6.2 | 6.3 | | 6.7 | 8.1 | 7.5 | 7.5 | This data can be useful for analyzing trends in wait times, assessing efficiency, and identifying areas for improvement in service delivery.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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