Question

CASE 1(continued) The manager of Roth Corporation, wants to determine whether or not the type of wark schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 emplayees to each of the 3 proposed work schedules. The fallowing table shows the units of praduction (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 45 75 75 40 We should develop hypothesis statements to test whether or not there is a difference between schedule A, Schedule B, and schedule C. The test statistic is Non of these alternativies is correct

Answer 1

here as number of treatments are more then 2 ; therefore one should apply one way ANOVA on above data

The test statistic is F

( please revert if there are other parts of this)

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.