Question

1. L. F. Gilbreath, the vice president of human resources for a major U.S. airline, wants to compare four programs for training employees to perform a certain task. Twenty employees are randomly assigned to the training programs, with five in each program. At the end of the training period, the number of times each employee can perform the task in a five-minutes period is recorded as follows: PROGRAM 1 PROGRAM 2 PROGRAM 3 PROGRAM 4 9 10 12 9 12 6 14 8 14 9 11 11 11 9 13 7 13 10 11 8

If L. F. conducts an analysis of variance [ANOVA] test to compare the training programs, a. State the null and alternative hypotheses associated with the test. b. If SSB = 54.95 and SST = 96.55, what is the calculated value of the associated test statistic? c. If the level of significance equals 0.05, what is the critical value of the associated test statistic? d. State your decision regarding the null hypothesis. e. State your conclusion (meaning, describe what the decision means in this problem). f. If Tukey’s HSD equals approximately 2.92, which training programs differ significantly from each other in terms of the number of times employees can perform the task in a five-minutes period, on average?

Answer 1