Mystery tool. You need to choose which tool to use. We are not going to tell you. You are trying to determine if the deposit cycle time of check clearing has improved from year one to year two. In order to determine this, Quick Turn Around Bank has collected data in terms of cycle time performance for each of its branches. In this case, data was collected in a random fashion by randomly assigning each branch a number 1-11, and then collecting which test should be employed to determine if year two was truly better than year one. The performance time is shown below in days. Which tool?
Instructions:
1. Write the null and alternative hypotheses.
2. Calculate the test statistic.
3. Determine the critical value whether or not there has been an improvement.
4. Determine if there has been an improvement from year 1 to year 2.
6. Write up your conclusion.
5. Test at 95% confidence.
| Data: |
|
|
|
|
|
| Data: |
Days |
Days |
| Branch |
Year 1 |
Year 2 |
| 1 |
3.16 |
4.24 |
| 2 |
4.35 |
3.87 |
| 3 |
3.46 |
3.87 |
| 4 |
3.74 |
4.12 |
| 5 |
3.61 |
3.74 |
| 6 |
4.58 |
4 |
| 7 |
4.24 |
3.87 |
| 8 |
3.46 |
4.97 |
| 9 |
3.74 |
3.12 |
| 10 |
3.64 |
4.39 |
| 11 |
3.07 |
4.63 |
|
3.731818 |
4.074545 |