\"a. Indicate why blocking was employed in this design. b. Determine if blocking

Question

"a. Indicate why blocking was employed in this design.

b. Determine if blocking was effective for this design
by producing the relevant ANOVA.

c. Using a significance level of 0.05, determine if the
average post training examination scores among the
auditing methods are equal to each other.

d. If you discovered that there were differences among the average post training examination scores among
the auditing methods, use the LSD approach to determine which populations have different means."

Please expliain the answers without using a graphing calculator. Thanks.

Method 1 83 74 Method 2 Method 3 Doctorate Master's Bachelor's High School 81 75 73 70 82 79 75 69 72

Explanation / Answer

a) Blocking was employed to know whether there is any significant difference exist with respect to the level of the education.

b) The ANOVA for the given data is as follows

b) The p-value for rows (blocks) is 0.00015 < 0.05 (level of significance) indicates that the blocking was effective for this study

c) The p-value for columns (methods) is 0.185193 > 0.05 (level of significance) indicates that the average post training examination scores among the auditing methods are equal to each other.

ANOVA Source of Variation SS df MS F P-value F crit Rows 219 3 73 46.10526316 0.000154731 4.757062663 Columns 7.166666667 2 3.583333333 2.263157895 0.185193 5.14325285 Error 9.5 6 1.583333333 Total 235.6666667 11

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