In: Statistics and Probability
Surveys were sent out to four different test groups asking them for product ratings. Determine if there is evidence that the mean product ratings differ among the four test groups. Use a 0.01 level of significance.
Test Group 1 | Test Group 2 | Test Group 3 | Test Group 4 |
---|---|---|---|
16 | 11 | 11 | 16 |
11 | 19 | 15 | 13 |
12 | 19 | 16 | 14 |
11 | 17 | 16 | 15 |
14 | 18 | 16 | 16 |
62 |
1.) What is the correct hypotheses statements?
2.)What is the F-statistic for the one-way ANOVA? Round to 4 decimal places.
3.)What is the p-value of the F statistic? Enter your answer with 4 decimal places.
4.)Should the null hypothesis be rejected or not? And are post-hoc tests needed?
Solution:
• All population means are equal, therefore there is no need of post-hoc test.