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 less than 2.4 ​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 0.025. a. Compute the test statistic. chi squared equals ​(Round to two decimal places as​ needed.)   b. Find the​ P-value of the test statistic. The​ P-value of the test statistic is ​(Round to three decimal places as​ needed.)

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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 less than 2.4 ​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 0.025.

a. Compute the test statistic.
chi squared equals
​(Round to two decimal places as​ needed.)
 
b. Find the​ P-value of the test statistic.
The​ P-value of the test statistic is
​(Round to three decimal places as​ needed.)
**Customer Waiting Times (in minutes)**

This table provides data on customer waiting times in minutes. It is organized into rows and columns, with each cell representing an individual recorded time.

| 6.8 | 7.4 | 10.1 | 6.4 |
|-----|-----|------|-----|
| 6.7 | 7.2 | 6.2  | 6.2 |
| 7.2 | 7.3 | 8.8  | 6.2 |
| 6.8 | 7.6 | 8.8  | 7.5 |
| 7.7 | 7.1 | 13.6 | 7.5 |
| 7.4 | 8.7 | 6.8  | 7.6 |
| 7.3 | 7.5 | 6.3  | 8.4 |
| 7.2 | 7.6 | 7.3  | 6.6 |
| 7.7 | 5.2 | 6.2  | 6.7 |
| 6.1 | 6.7 | 6.4  | 6.3 |
| 7.5 | 7.1 | 12.7 | 6.2 |
| 6.7 | 7.1 | 7.6  | 6.1 |
| 9.1 | 6.9 | 6.8  | 6.8 |
| 7.2 | 6.4 | 6.1  | 7.2 |
| 6.9 | 6.4 | 6.2  | 6.8 |

### Analysis and Insights:
- The table shows variability in waiting times, with some significantly higher values (e.g., 13.6 and 12.7 minutes).
- The majority of times fall within a range of 6 to 9 minutes.
- Understanding these times can help improve customer service and streamline processes by addressing peak wait periods.
Transcribed Image Text:**Customer Waiting Times (in minutes)** This table provides data on customer waiting times in minutes. It is organized into rows and columns, with each cell representing an individual recorded time. | 6.8 | 7.4 | 10.1 | 6.4 | |-----|-----|------|-----| | 6.7 | 7.2 | 6.2 | 6.2 | | 7.2 | 7.3 | 8.8 | 6.2 | | 6.8 | 7.6 | 8.8 | 7.5 | | 7.7 | 7.1 | 13.6 | 7.5 | | 7.4 | 8.7 | 6.8 | 7.6 | | 7.3 | 7.5 | 6.3 | 8.4 | | 7.2 | 7.6 | 7.3 | 6.6 | | 7.7 | 5.2 | 6.2 | 6.7 | | 6.1 | 6.7 | 6.4 | 6.3 | | 7.5 | 7.1 | 12.7 | 6.2 | | 6.7 | 7.1 | 7.6 | 6.1 | | 9.1 | 6.9 | 6.8 | 6.8 | | 7.2 | 6.4 | 6.1 | 7.2 | | 6.9 | 6.4 | 6.2 | 6.8 | ### Analysis and Insights: - The table shows variability in waiting times, with some significantly higher values (e.g., 13.6 and 12.7 minutes). - The majority of times fall within a range of 6 to 9 minutes. - Understanding these times can help improve customer service and streamline processes by addressing peak wait periods.
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