For the preceding problem you should find that there are significant differences
ID: 3370950 • Letter: F
Question
For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are relatively small. To create the following data, we kept the same sample means that appeared in problem 8 but increased the SS values within each sample Treatment N 12 G = 48 ZX2 260 4 4 4 T=16 T=8 T=24 SS 8 SS10 SS 18 Calculate the sample variance for each of the three samples. (Round your answers to two decimal places.) Variance for sample I2.67 Variance for sampleI3.33 Variance for sample III6.00 Describe how these sample variances compare with those from problem 8: O Some larger, some smaller All smaller All larger No change Predict how the increase in sample variance should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the value obtained in problem 8? O Smaller F-ratio, more likely to reject Ho O Smaller F-ratio, less likely to reject Ho O Larger F-ratio, less likely to reject Ho Larger F-ratio, more likely to reject Ho Use an ANOVA with ? = .05 to determine whether there are any significant differences among the three treatment meansExplanation / Answer
Correct answer: option (A) some large, some smaller
Correct answer: option (D) Larger F-ratio, more likley to reject H0
Correct answers
Correct answer: Option(A)
Answer: Yes
ANOVA Table Source Sum of square df MS F-ratio F-critical Between Group 38.86 2 19.43 9.715 3.982298 Within Groups 48 11 2 Total 86.86 13