Question

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis for this ANOVA problem is

Answer 1

H0 : //μA = μB = μC

Explanation:

Given the data:

Treatment | Observation

A | 20 | 30 | 25 | 33

B | 22 | 26 | 20 | 28

C | 40 | 30 | 28 | 22

To test whether there is a difference between the group means of a sample ; the ANOVA test is employed ;

The appropriate hypothesis test:

The alternative hypothesis will habour the notion that there is a difference in sample means while the alternative will be opposite, that is, no difference exists in the sample means for the three treatments :

Null hypothesis ; H0 : μA = μB = μC ;

The alternative hypothesis, takes the opposite of the null ;

H1 : μA ≠ μB ≠ μC (this means that the mean values of the treatments are not the same

The null hypothesis will