Question

The manager of Roth 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 60 65 65 58 57 50 60 70 40 75 75 40 At 95% confidence, determine if there is a significant difference in the mean weekly units of production for the three types of work schedules.The conclusion is At 95% confidence, there is a significant difference in the mean weekly units of production for the three types of work schedules. There is no a significant difference in the mean weekly units of production for the three types of work schedules. Since p-value greater that alpha 0.05 the null hypothesis should not be rejected. We can conclude that at 95% confidence, there is no a significant difference in the mean weekly units of production for the three types of work schedules Non of these alternative is correct

Answer 1

Two-way ANOVA: Production versus Employee, Work Schedule Source Employee4 959.07 239.767 3.87 0.049 Work Schedule 2 154.53 77.267 1.25 0.338 Error Total S: 7.875 R-Sq-69.1890 R-Sq(adj):46.06% DF SS MS 8 496.13 62.017 4 1609.73 (b)Testing H: There is no significant difference in the mean weekly units of production for the three types of work schedules H.: There is a significant difference in the mean weekly units of production for the three types of work schedules. Given level of significance is α-o05 From the Anova Table we have, Since p-value 0.338> at a-0.05 so we fail to eject Ho Conclusion : There is no significant difference in the mean weekly units of production for the three types of work schedules.