The MAKSI FEB UI program is considering buying a copier machine among 5 (five) types, namely the FC1, FC2, FC3, FC4 and FC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) copied in one minute. Six staff members conducted an experiment to run each type of copier. The following data shows the number of copied pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of copier: FC1 FC2 FC3 FC4 FC5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55 Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table: Source of Variation SS Df MS Fstat FTable CopierMachine 333.33 ……… ……… ……… ……… Staff ……….. ……… ……… ……… ……… Error 129.47 ……… ……… Total 532.67 ……… 4 Questions: a. Fill up the blanks in the table! b. Next, using the 5 percent significant level, is there a difference in the average efficiency between the 5 (five) types of copiers? c. Is there a difference in the average efficiency of the 6 (six) staff? d. What does the answer to the questions in points (b) and (c) mean if it is related to the variation in data that occurs in the number of pages (sheets) of copied results per minute?
The MAKSI FEB UI program is considering buying a copier machine among 5 (five) types, namely the FC1, FC2, FC3, FC4 and FC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) copied in one minute. Six staff members conducted an experiment to run each type of copier. The following data shows the number of copied pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of copier:
FC1 FC2 FC3 FC4 FC5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55
Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table:
Source of Variation SS Df MS Fstat FTable CopierMachine 333.33 ……… ……… ……… ……… Staff ……….. ……… ……… ……… ……… Error 129.47 ……… ……… Total 532.67 ………
4
Questions:
a. Fill up the blanks in the table! b. Next, using the 5 percent significant level, is there a difference in the average efficiency between the 5 (five) types of copiers? c. Is there a difference in the average efficiency of the 6 (six) staff? d. What does the answer to the questions in points (b) and (c) mean if it is related to the variation in data that occurs in the number of pages (sheets) of copied results per minute?
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