Question

Suppose a researcher is performing a CR-3 design. Further suppose the P value for the testing

the means is 0.0123. What conclusion can be made.
(a) There is enough evidence to conclude that all the means are equal
(b) There is not enough evidence to conclude that any of the means differ
(c) There is not enough evidence to conclude all the means are different
(d) There is enough evidence to conclude that all the means are different
(e) There is enough evidence to conclude that not all the means are equal and further testing must
be done to determine which means differ

Answer 1

The correct conclusion for a CR-3 design with a p-value of 0.0123 is (e) There is enough evidence to conclude that not all the means are equal and further testing must be done to determine which means differ.

Step-by-step explanation:

The researcher is performing a CR-3 design, which is a design for comparing three means. The researcher has obtained a p-value of 0.0123 for testing the means. At a significance level of 0.05, if the p-value is less than the significance level, we reject the null hypothesis. Since 0.0123 < 0.05, we reject the null hypothesis. Therefore, the correct conclusion is (e) There is enough evidence to conclude that not all the means are equal and further testing must be done to determine which means differ.