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 has this form: 1. Null hypothesis: ! : " = # = . = $ (all k population means are equal) 2. Alternative hypothesis: " : Not all k population means are equal. 3. Test statistics (TS): = %&' %&( follow F-distribution with " = 1 and. # = numerator and denominator degrees of freedom. 4. Rejection Region approach: If ),+,! ,+," we reject ! . P-value approach: P-value= ( -./ ) for the one-way ANOVA F test. If P-value value, we reject ! . Complete the ANOVA table. Source of Variation Sum of Squares df Mean Square F Factor 4.522 Error 62 0.988 Total 65 (i). State the null hypothesis and the alternative hypothesis in terms of the population means