Question

Consider the following scenario. You conduct a RCBD ANOVA test and calculate a test statistic of 3.48 for your primary research question. You had 6 different treatment groups, and 5 levels of your blocking variable. What would be the most correct conclusion to come to using a significance level of 5%? O A. Reject the null hypothesis since the p value is greater than 0.05 and conclude that at least one of the treatment group means are different to the others. B. Do not reject the null hypothesis since the p value is greater than 0.05 and conclude that there is no significant difference in the means of the different treatments. C. Reject the null hypothesis since the p value is less than 0.05 and conclude that at least one of the treatment group means are different to the others. D. Do not reject the null hypothesis since the p value is less than 0.05 and conclude that at least one of the treatment group means are different to the others. O E. None of the above are the correct conclusion

Answer 1

Number of blocks=5

number of treatment=6

Here F statistic follows F distribution with df 5 and 20 under the null hypothesis.

Observed F=3.48

p-value=P(F>observed F) under null

= 0.02003821<0.05

Therefor the correct conclusion is:(c)