A Six Sigma analyst in Lakerside United Bank suspected that errors in counting a
ID: 443758 • Letter: A
Question
A Six Sigma analyst in Lakerside United Bank suspected that errors in counting and manually strapping cash into bundles were related to the number of weeks that employees had been employed on that job. The data available in the worksheet below were gathered from the process. Draw and label a scatter diagram depicting the data. What, if anything, do you learn from the scatter diagram? Does the scatter diagram confirm or refute your suspicions about errors being related to the number of weeks employed? Explain. What additional tools would you use to further understand the problem and identify solutions? Explain why you select those toolsExplanation / Answer
1.
The x axis represents "weeks on the jobs" and y axis represents "average weekly errors.
The scatter diagram shows that there is a negative gradient. It means that the larger values of errors are associated with the smaller values of experience in terms of "weeks on the job".
Secondly, the points are tightly clustered, indicating a strong correlation.
2. The scatter diagram confirms my suspicion about errors being related to number of weeks employed, as shown by the negative gradient of the scatter plot. This is logical as the quantum of errors will reduce with an increase in experience.
3. Certain additional tools can be used. They are: linear regression. This will help in forecasting of errors. A linear equation can be formed y = mx+b which can be used for forecasting. Correlation coefficient can be used to determine the quantitative measure of dependence of errors on the number of weeks on the job.