The Widington College program is considering buying a Scanner machine among 5 (five) types, namely the SC1, SC2, SC3, SC4 and SC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) scanned in one minute. Six staff members conducted an experiment to run each type of scanner. The following data shows the number of scanned 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 scanner: SC 1 SC 2 SC 3 SC 4 SC 5 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 F stat F Table Scanner Machine 333.3 ..... ..... ..... ..... Staff ..... ..... ..... ..... ..... Error 129.47 ..... ..... ..... ..... Total 532.67 ..... ..... ..... ..... Questions: b. Next, using the 5 percent significant level, is there a difference in the average efficiency between the 5 (five) types of scanners? 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 scanners results per minute?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The Widington College program is considering buying a Scanner machine among 5 (five) types, namely the SC1, SC2, SC3, SC4 and SC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) scanned in one minute. Six staff members conducted an experiment to run each type of scanner. The following data shows the number of scanned 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 scanner:
| SC 1 | SC 2 | SC 3 | SC 4 | SC 5 | |
| 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 | F stat | F Table |
| Scanner Machine | 333.3 | ..... | ..... | ..... | ..... |
| Staff | ..... | ..... | ..... | ..... | ..... |
| Error | 129.47 | ..... | ..... | ..... | ..... |
| Total | 532.67 | ..... | ..... | ..... | ..... |
Questions:
b. Next, using the 5 percent significant level, is there a difference in the average efficiency between the 5 (five) types of scanners?
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 scanners results per minute?
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