Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the .05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Conduct a test of hypothesis to determine whether the block or the treatment means differ. Using the .05 significance level:

(a) State the null and alternate hypotheses for treatments;

(b) State the decision rule for treatments;

(c) State the null and alternate hypotheses for blocks. Also, state the decision rule for blocks, then:

(d) Compute SST, SSB, SS total, and SSE; (e) complete an ANOVA table;

(f) Give your decision regarding the two sets of hypotheses and interpret the results.

Transcribed Image Text:

Units Produced Employee Day Afternoon Night Skaff 31 25 35 Lum 33 26 33 Clark 28 24 30 Treece 30 29 28 Morgan 28 26 27