Reference no: EM133039268
Problem:
The manager of Ahmadi Corporation, wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each of the 3 proposed work schedules. The following table shows the units of production (per week) under each of the work schedules.
|
Work Schedule (Treatments)
|
|
Schedule 1
|
Schedule 2
|
Schedule 3
|
|
50
|
60
|
75
|
|
45
|
65
|
78
|
|
55
|
62
|
50
|
|
40
|
58
|
60
|
|
45
|
69
|
65
|
1. Calculate sample means for the productivity levels in each of the schedules x¯1, x¯2, x¯3
2. Compute the overall sample mean x¯.
3. What type of test should the manager use to determine if there is a significant difference in the mean weekly units of production for the three types of work schedules?
4. State the null hypothesis
5. State the alternative hypothesis
6. Calculate the test statistic
7. Calculate the p-value
8. At 95% confidence make the decision regarding hypothesis test
9. State your conclusion in the context of the problem.