a) Null and Alternative hypothesis are-
H0: No difference in dry times of the different
paints
H1:There is a difference in dry times of the
different paints
b) I have used F test to analysis this, using ANOVA model
c) The ANOVA Table is-
|
SUMMARY |
|
|
|
|
|
|
|
Groups |
Count |
Sum |
Average |
Variance |
|
|
|
paint1 |
7 |
849 |
121.2857143 |
38.23809524 |
|
|
|
paint2 |
7 |
871 |
124.4285714 |
25.95238095 |
|
|
|
paint3 |
7 |
859 |
122.7142857 |
25.57142857 |
|
|
|
paint4 |
7 |
864 |
123.4285714 |
60.61904762 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ANOVA |
|
|
|
|
|
|
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
36.67857143 |
3 |
12.22619048 |
0.325205826 |
0.807100713 |
3.00878657 |
|
Within Groups |
902.2857143 |
24 |
37.5952381 |
|
|
|
|
|
|
|
|
|
|
|
|
Total |
938.9642857 |
27 |
|
|
|
|
Since, P-value=0.807>0.01, then at alpha=0.01 we do not
reject the null hypothesis(Because the value of test statistic F
falls in acceptance region)
d)Since we have accepted the null hypothesis, then there is no
difference in dry times of different paints.
