Question

A quality control engineer is considering implementing a workshop to instruct workers on the principles of total quality management (TQM). The program would be quite expensive to implement across the whole corporation; hence the engineer has designed a study to evaluate which of the four types of workshops would be most effective. The response variable will be the increase in productivity of the worker after participating in the workshop. Since of the workshop may depend on the worker's preconceived attitude concerning TQM, the workers are given an examination to determine their attitude prior to taking the workshop. Their attitudes are classified into five groups. There are four workers in each group, and the type of workshop is randomly assigned to the workers within each group. The increases in productivity are given here. Type of Workshop 5 Mean 42.8 - 1 33 35 40 2 38 37 42 50 Attitude 3 4 39 42 43 47 45 52 55 62 46.6 62 71 74 84 50.6 54 50 55 84 61 Mean 40.5 41.75 45.5 50.75 72.75 50.25

Answer 1

The test statistic:

F= 66.2513

P-value =0.0000

Reject the null hypothesis

MS F D ANOVA Source of Variation Workshop Attitude Error Total SS 922.55 2785.5 55.7 3763.75 df 3 4 12 19 307.5167 696.3750 4.6417 66.2513 150.0269 arit P-value value Fcrit 0.0000 3.490295 0.0000 3.259167