Review: One-Way Analysis of Variance Given the assumptions hold that the sub-populations are independent, normally distributed random variables with equal variances. A hypothesis test about the population mean with significance level a has this form: 1. Null hypothesis: Ho: M = == k (all k population means are equal) 2. Alternative hypothesis: H: Not all k population means are equal. 3. Test statistics (TS): F = follow F-distribution with df = k 1 and. MSA MSE df2 nk numerator and denominator degrees of freedom. 4. Rejection Region approach: If F > Fa,df1df2 we reject Ho P-value approach: P-value= P(F Fobs) for the one-way ANOVA F test. If P-value a value, we reject Ho. Complete the ANOVA table. Source of Variation Sum of Squares df Mean Square F Factor Error Total 4.522 62 0.988 65 (i). State the null hypothesis and the alternative hypothesis in terms of the population means. (ii). Find the rejection region for a = 0.01 (iii). Is there any evidence to suggest that at least two population means are different? Justify your answer.