Three different shops are used to repair electric motors. One hundred motors are sent to each shop. When a motor is returned, it is put in use and then repair is classified as complete, requiring and adjustment, or incomplete repair. Based on data in Table 4, use 0.05 level of significance to test whether there is homogeneity among the shops’ repair distribution. Table 4 shop 1 shop 2 shop 3 Repair Complete 78 56 54 Repair adjustment 15 30 31 Repair incomplete 7 14 15 Total 100 100 100
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.
Three different shops are used to repair electric motors. One hundred motors are sent to each
shop. When a motor is returned, it is put in use and then repair is classified as complete, requiring
and adjustment, or incomplete repair. Based on data in Table 4, use 0.05 level of significance to
test whether there is homogeneity among the shops’ repair distribution.
Table 4
| shop 1 | shop 2 | shop 3 | ||
| Repair | Complete | 78 | 56 | 54 |
| Repair | adjustment | 15 | 30 | 31 |
| Repair | incomplete | 7 | 14 | 15 |
| Total | 100 | 100 | 100 |
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