Bonferroni Use the Bonferroni MCP for all of the following A

Bonferroni: Use the Bonferroni MCP for all of the following. AL.PHA=0.05 Give the Bonferroni 95% Cl for the difference in the means of treatments 2 and 3 Are the means of treatments 2 and 3 significantly different? Explain/Justify your answer. How large does the difference between the means of a pair of treatments need to be for those treatments to be significantly different?

Solution

Answer:

The means of treatments 2 and 3 are significantly different. This can be inferred from the F statistic which is 31.532 whereas the critical value is 3.0984. As the calculated value is much higher than the tabulated value, we can the reject the null that the two treatments are independent of each other.

The difference between the two means has to be such that the p value coresponding to teh difference is less than 0.05. At a p value lesser than 0.05, the null hypothesis can be rejected.