2. Collect the data pertaining to the number of customers serviced (by you or by one of the branch employees) and the number of leads generated through them during any 10 consecutive working days in February 2010. The data has to be tabulated as under.
The following table presents a hypothetical example.
You are required to collect the actual data and prepare the table.
Date Number of customers Leads generated
19th Feb 5 2
20th 6 5
21st 4 1
22nd
.
.
.
. 7
.
.
.
. 2
.
.
.
.
Apply t- test and paired t-test at 5% level of significance.
Also state whether the t-value is significant or not and what decision can be taken based on these results.
(If you are not working in a branch, collect data from any nearby branch of your bank and prepare the table.)
(10 marks)
To collect the data pertaining to the number of customers serviced and the number of leads generated during any 10 consecutive working days in February 2010, follow these steps:
1. Identify a nearby bank branch or your own branch where you can collect the data.
2. Choose any 10 consecutive working days in February 2010 for data collection.
3. Approach the branch manager or relevant staff at the selected branch and explain your task of collecting the data.
4. Request them to provide you with the daily number of customers serviced and leads generated during the selected 10-day period.
5. Ensure that they provide you with the data for each specific day within the selected period.
Once you have collected the data, you can create a table like the one provided in the example, with columns for Date, Number of customers serviced, and Leads generated. Fill in the data accordingly.
Example:
Date | Number of customers | Leads generated
---------------------------------------------------
19th Feb | 5 | 2
20th | 6 | 5
21st | 4 | 1
22nd | - | -
Fill in the remaining days with the respective data obtained from your selected branch.
To apply t-test and paired t-test at a 5% level of significance, you will need to use statistical software or conduct the calculations manually. Follow these steps:
1. Calculate the mean and standard deviation for both number of customers serviced and leads generated.
2. If you are performing a paired t-test, subtract the pre-test values from the post-test values to obtain the difference values.
3. Calculate the mean and standard deviation of the differences (if performing a paired t-test).
4. Determine the degrees of freedom for the t-test using the formula: df = n - 1, where n is the number of observations.
5. Use the t-distribution table or software to find the critical t-value for a 5% level of significance and the calculated degrees of freedom.
6. Calculate the t-value using the formula: t = (mean - hypothesis value) / (standard deviation / sqrt(n)), where n is the number of observations.
7. Compare the calculated t-value with the critical t-value.
8. If the calculated t-value is greater than the critical t-value, then the result is considered statistically significant. If it is smaller, then it is not statistically significant.
9. Based on the results, you can make a decision. If the t-value is significant, it suggests that there is a significant difference between the two variables (number of customers serviced and leads generated). If it is not significant, it suggests that there is not enough evidence to conclude a significant difference exists.
Note: Performing statistical tests requires knowledge of statistical analysis and software. If you are not familiar with these techniques, it is recommended to seek assistance from a statistician or consult relevant textbooks and resources.