Question

A partially completed ANOVA table for a completely randomized design is shown here:

Source	df	SS	MS	F
Treatments	6	17.5	2.9167	3.52
Error	35	29.0	.8286
Total	41	46.5	3.7453

Complete the ANOVA table.

How many treatments are involved in the experiment? Do the data provide sufficient evidence to indicate a difference among the population means? Test using α = .10. Find the approximate observed significance level for the test in part c, and interpret it. Suppose that x ̅_1=3.7 and x ̅_2=4.1. Do the data provide sufficient evidence to indicate a difference between µ1 and µ2? Assume that there are six observations for each treatment. Test using α = .10 Refer to part b. Find a 90% confidence interval for (µ1 – µ2). Refer to part b. Find a 90% confidence interval for µ1.

Answer 1

There are 7 treatments are involved in the experiment.

P-value = 0.0078 < alpha 0.10 so we reject H0

F-value = 1.9496 > F-Critical value = 2.3718 so we reject H0

Thus we conclude that there is significance difference among the means of 7 treatments