These data are observations collected using a completely randomized design:
|
Sample 1
|
Sample 2
|
Sample 3
|
|
4
|
5
|
3
|
|
3
|
4
|
1
|
|
5
|
6
|
3
|
|
4
|
3
|
2
|
|
3
|
6
|
|
a. Construct an ANOVA table for the data.
b. State the null and alternative hypotheses for an analysis of variance F test.
c. Use the p-value approach to determine whether there is a difference in the three population means.
d. Do the data provide sufficient evidence to indicate a difference between and? Test using the two-sample independent t test with = 0.05.
e. Find a 90% confidence interval for the difference ().