The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is lens than 1.9 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below. E Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer below. Customer waiting times YA Ho: a= 1.9 minutes OBHo: o< 1.9 minutes Customer Waiting Times (in minutes) 9.2 6.2 6.5 11.9 5.3 HA a<1.9 minutes HA O1,9 minutes O C. Ho: o=1.9 minutes H: a1.9 minutes 6.8 7.2 6.3 79 6.9 7.8 OD Ha: o219 minutes 7.9 HA O<1.9 minutes 7.6 7.8 62 7.9 7.3 b. Compute the test statistic. 6.9 7.2 7.4 7.7 6.9 77 - 44.76 6.5 8.9 6.5 13.2 7.3 (Round to two decimal places as needed.) 7.1 7.4 7.5 6.4 c. Find the P-value of the test statistic. 6.9 14.9 6.7 7.8 7.7 8.6 6.4 7.4 The P-value of the test statistic is 10.2 88 6.4 6.7 8.1 (Round to three decimal places as needed.) 6.9 7.1 8.8 7.3 6.2 4.3 6.9 6.8 7.5 6.4 6.3 6.7 8.6 7.8 7.6
The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is lens than 1.9 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below. E Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer below. Customer waiting times YA Ho: a= 1.9 minutes OBHo: o< 1.9 minutes Customer Waiting Times (in minutes) 9.2 6.2 6.5 11.9 5.3 HA a<1.9 minutes HA O1,9 minutes O C. Ho: o=1.9 minutes H: a1.9 minutes 6.8 7.2 6.3 79 6.9 7.8 OD Ha: o219 minutes 7.9 HA O<1.9 minutes 7.6 7.8 62 7.9 7.3 b. Compute the test statistic. 6.9 7.2 7.4 7.7 6.9 77 - 44.76 6.5 8.9 6.5 13.2 7.3 (Round to two decimal places as needed.) 7.1 7.4 7.5 6.4 c. Find the P-value of the test statistic. 6.9 14.9 6.7 7.8 7.7 8.6 6.4 7.4 The P-value of the test statistic is 10.2 88 6.4 6.7 8.1 (Round to three decimal places as needed.) 6.9 7.1 8.8 7.3 6.2 4.3 6.9 6.8 7.5 6.4 6.3 6.7 8.6 7.8 7.6
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Posting this for the second time 0.975 isn't the answer help
Transcribed Image Text:### Educational Content on Hypothesis Testing of Customer Waiting Times at a Bank
This educational section deals with analyzing the waiting times of customers at a bank where customers enter a single waiting line that feeds into three teller windows. The objective is to test the claim that the standard deviation of waiting times is less than 1.9 minutes, which is the current standard deviation when separate waiting lines are used for each teller window. The significance level is set at 0.05, and we will proceed through steps (a) to (d).
#### a. Identify the Null and Alternative Hypotheses
Choose the correct answer:
- **Null Hypothesis (H₀):** σ = 1.9 minutes
- **Alternative Hypothesis (Hₐ):** σ < 1.9 minutes
In this context, we aim to determine if the variability of waiting times is less than the current standard.
#### b. Compute the Test Statistic
The test statistic used here is the chi-square (χ²) statistic:
- **Calculated χ² value:** 44.76
- **Note:** Round to two decimal places as needed.
#### c. Find the P-Value of the Test Statistic
- **P-Value:** (Provide this value in your final review)
- **Note:** Round to three decimal places as needed.
### Data Table: Customer Waiting Times
The table provides a comprehensive set of waiting times (in minutes) for customers:
| 6.8 | 7.9 | 9.2 | 6.9 |
|-----|-----|-----|-----|
| 7.3 | 7.9 | 6.5 | 7.2 |
| 6.2 | 7.8 | 6.5 | 7.8 |
| 6.1 | 7.9 | 11.9| 6.9 |
| 8.0 | 8.1 | 7.5 | 6.4 |
| 7.7 | 8.9 | 6.3 | 8.3 |
| 6.6 | 8.6 | 7.7 | 7.3 |
| 6.9 | 9.8 | 6.5 | 7.4 |
| 6.8 | 14.9| 8.8 | 7.4 |
| 5.3 | 6
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