The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed Answer the following questions. 6.6 6.7 7.6 7.9 7.3 Bank A 6.3 4.3 Bank B Click the icon to view the table of Chi-Square critical values. Construct a 99% confidence interval for the population standard deviation at Bank A min

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Bank_A    Bank_B
6.3    4.3
6.6    5.5
6.7    5.7
6.8    6.2
7.1    6.6
7.3    7.8
7.6    7.8
7.9    8.5
7.9    9.3
7.9    10

### Exploring Customer Waiting Times at Banks

The data provided shows the waiting times in minutes for customers at two different banks, Bank A and Bank B. Each bank uses a different queuing system:

- **Bank A:** Customers enter a single waiting line that distributes them to three teller windows.
- **Bank B:** Customers have the option to choose from three different lines, each leading to a separate teller window.

Below are the waiting time observations for both banks:

| Bank A (minutes) | Bank B (minutes) |
|------------------|------------------|
| 6.3              | 4.3              |
| 6.6              | 5.5              |
| 6.7              | 6.2              |
| 6.8              | 6.6              |
| 7.1              | 7.8              |
| 7.3              | 7.8              |
| 7.6              | 8.5              |
| 7.9              | 9.3              |
| 7.9              | 10.0             |

**Instructions:**

To analyze these waiting times, we will construct 99% confidence intervals for the population standard deviations at both banks.

---

#### Constructing a Confidence Interval for Bank A:

- **Box for Answer:** 
  \[ \text{min} < \sigma_{\text{Bank A}} < \text{min} \]
  - **Note:** Round to two decimal places.

---

#### Constructing a Confidence Interval for Bank B:

- **Box for Answer:**
  \[ \text{min} < \sigma_{\text{Bank B}} < \text{min} \]
  - **Note:** Round to two decimal places.

---

#### Interpretation:

Review the constructed confidence intervals. Do they suggest a difference in the variation among waiting times at the two banks? Which system appears more efficient: the single-line at Bank A or the multiple-line at Bank B?

- **Option A:** The variation appears significantly lower with a multiple-line system. Bank B's system seems better.
- **Option B:** The variation appears significantly lower with a single-line system. Bank A's system seems better.
- **Option C:** The variation appears significantly higher with a multiple-line system. Bank B's system seems better.
- **Option D:** The variation appears significantly higher with a single-line system. Bank A's system seems
Transcribed Image Text:### Exploring Customer Waiting Times at Banks The data provided shows the waiting times in minutes for customers at two different banks, Bank A and Bank B. Each bank uses a different queuing system: - **Bank A:** Customers enter a single waiting line that distributes them to three teller windows. - **Bank B:** Customers have the option to choose from three different lines, each leading to a separate teller window. Below are the waiting time observations for both banks: | Bank A (minutes) | Bank B (minutes) | |------------------|------------------| | 6.3 | 4.3 | | 6.6 | 5.5 | | 6.7 | 6.2 | | 6.8 | 6.6 | | 7.1 | 7.8 | | 7.3 | 7.8 | | 7.6 | 8.5 | | 7.9 | 9.3 | | 7.9 | 10.0 | **Instructions:** To analyze these waiting times, we will construct 99% confidence intervals for the population standard deviations at both banks. --- #### Constructing a Confidence Interval for Bank A: - **Box for Answer:** \[ \text{min} < \sigma_{\text{Bank A}} < \text{min} \] - **Note:** Round to two decimal places. --- #### Constructing a Confidence Interval for Bank B: - **Box for Answer:** \[ \text{min} < \sigma_{\text{Bank B}} < \text{min} \] - **Note:** Round to two decimal places. --- #### Interpretation: Review the constructed confidence intervals. Do they suggest a difference in the variation among waiting times at the two banks? Which system appears more efficient: the single-line at Bank A or the multiple-line at Bank B? - **Option A:** The variation appears significantly lower with a multiple-line system. Bank B's system seems better. - **Option B:** The variation appears significantly lower with a single-line system. Bank A's system seems better. - **Option C:** The variation appears significantly higher with a multiple-line system. Bank B's system seems better. - **Option D:** The variation appears significantly higher with a single-line system. Bank A's system seems
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