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.