A manufacturer wants to compare thenumber of defects on the day shift with the number on the eveningshift. A sample of production from recent shifts showed thefollowing defects:
DayShift                    5         8         7         6         9         7
Evening Shift            8         10       7         11       9         12           14       9
The objective is to determine whetherthe mean number of defects on the night shift is greater than themean number on the day shift at the 95% confidence level.
- State the null and alternate hypotheses.
- What is the level of significance?
- What is the test statistic?
- What is the decision rule?
- Use the Excel Data Analysis pack to analyze the problem.Include the output with your answer. (Note: You may calculate byhand if you prefer).
- What is your conclusion? Explain.
- Does the decision change at the 99% confidence level?
