A company evaluated three new production-line technologies, one involving high automation, the second involving moderate automation, and the third involving low automation. All three technologies were intended to improve productivity through increased automation, but they continued to require operator intervention. Three groups were identified, each consisting of three line operators with similar years of production-line experience. Within each group, the operators were randomly assigned to one of the three new production-line technologies. The output (in units per hour) was recorded for each operator and is shown in the accompanying table.

a. What are the blocks and what are the treatments in this randomized-blocks design?
b. Complete the ANOVA table in the accompanying computer output for the data set given.
c. Do the data provide sufficient evidence to indicate that any significant differences exist among the outputs for the three technologies?
d. Using a confidence interval of the form

where v represents the degrees of freedom, find a 99% confidence interval for the true difference in average output between the high and moderate automation lines.

Dependent Variable: OUTPUT

Technology High Automation (H) Operator Moderate Automation (M) Low Automation (L) Experience S1 Year 1-2 Years >2 Years 10 18 19 12 13 10 12 2 n CLASS LEVEL INFORMATION Class LINE EXPER Levels Values 3 H L M 1-2 F 2 70.22222222 282.88888889 LINE 4144444 EXPER Source DF Type lI SS LINE EXPER Mean Square F Value Pr> F 2 70.22222222 82.88888889 41.44444444 OUTPUT Level of LINE Mean Std Dev 15.6668667 4.93288286 3 9.000000 360555 128 3 11.0000000 264575131 3 OUTPUT Level of EXPER Mean Std Dev 3 13.3333333 3 7 8866667 251661148 3 14 6666667 37893890 4.16333200 >2