In: Statistics and Probability
The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below.
| 
 Day  | 
 Process 1  | 
 Process 2  | 
 Process 3  | 
| 
 1  | 
 33  | 
 33  | 
 28  | 
| 
 2  | 
 30  | 
 35  | 
 36  | 
| 
 3  | 
 28  | 
 30  | 
 30  | 
| 
 4  | 
 29  | 
 38  | 
 34  | 
ANOVA: Single Factor
SUMMARY
| 
 Groups  | 
 Count  | 
 Sum  | 
 Average  | 
 Variance  | 
| 
 Process 1  | 
 4  | 
 120  | 
 30  | 
 4.66667  | 
| 
 Process 2  | 
 4  | 
 136  | 
 34  | 
 11.3333  | 
| 
 Process 3  | 
 4  | 
 128  | 
 32  | 
 13.3333  | 
ANOVA
| 
 Source of Variation  | 
 SS  | 
 df  | 
 MS  | 
 F  | 
 P value  | 
|
| 
 Between Groups  | 
 32  | 
 ?  | 
 ?  | 
 ?  | 
||
| 
 Within Groups  | 
 88  | 
 ?  | 
 ?  | 
|||
| 
 Total  | 
 120  | 
 11  | 
a. State the null and alternative hypothesis for single factor ANOVA. (1 mark)
b. State the decision rule (α = 0.05).
c. Calculate the test statistic.
d. Make a decision.