Auditor training. An accounting firm. prior to introducing
1. Auditor training. An accounting firm. prior to introducing in the firm widespread training
In statistical sampling for aUditing. Tested three training methods: (I) study at home withprogrammed training materials. (2) Training sessions at local offices conducted by local staff,and (3) training sessions in Chicago conducted by national staff. Thirty auditors were groupedinto ten blocks of three. According to thetime elapsed since college graduation. And the auditorsin each block were randomly assigned to the three training methods. At the end of the training.Each auditor was asked to analyze a complex case involving statistical applications; aproficiency measure based on this analysis was obtained for each auditor. The results were
 Obtain the analysis of variance table using MINITAB
 Conduct the Tukey test for additivity of block and treatment effects; use α = .01. State thealternatives, decision rule, and conclusion. What is the Pvalue of the test?
2. Refer to question 1. The accounting firm repeated the experiment with another group of 30 auditors, but this time grouped them into five blocks of six each. In each block, each treatment was randomly assigned to two auditors. The results were:
 State the generalized randomized block model for this application.
 Obtain the analysis of variance table using MINITAB
 Test whether or not the mean proficiency scores for the three training methods differ: α = .01. State the alternatives hypothesis decision rule, and conclusion. What is the Pvalue of the test?
 Make all pairwise comparisons between the three training methods: use the Tukey process with a 95 percent family confidence coefficient. Summarize your findings.
 Test whether or not blocks interact with treatments: use α = .01. State the alternativesdecision rule. And conclusion. What is the Pvalue of the test?
A foodprocessing plant has tested several different formulations of a new breakfast
drink. Each of six panels rated the 12 different formulations obtained from combining one of
three levels of sweetness, one of two levels of caloric content, and one of two colors. The mean
ratings are given in the following table.
a. Identify the design.
b. Write an appropriate model.
c. Give the analysis of variance table for this design.
6. Seven different hardwood concentrations are being studied to determine their effect on the
strength of the paper produced. However the pilot plant can only produce three runs each day. As
days may differ, the analyst uses the balanced incomplete block design that follows. Analyze this
experiment (use α = 0.05) and draw conclusions.

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Solution: Auditor training. An accounting firm. prior to introducing