Question 1

The manager of Metals R Us Corporation wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 21 production employees at random and then randomly assigned them to 3 proposed work schedules. The following table shows the Excel output based on units of production (per week) under each of the work schedules: Anova: Single Factor SUMMARY Groups Count Sum Average Variance Work 1 6 288 48 67.6 Work 2 Co 528 66 9.1 Work 3 7 406 58 138 ANOVA Source of Variation SS df MS F P-value F crit Treatments 1111.2 2 555.62 8.131 Error 1230 18 68.33 Total 2341.2 20 a) What does the critical value, F equal at 5% level of significance? b) Is there a significant difference in the work schedules? Explain your answer. c) Develop a confidence interval to determine if there is a significant difference between work schedules 1 and 2 at the 5% level of significance