2. Performing a One-Way ANOVA and Multiple Comparisons 14 Batteries contains data from an experiment that compares the life of five different brands of batteries. The objective is to determine which brand has the longest life. These are the variables in the data set: Brand brand of battery (Brand 1, Brand 2, Brand 3, Brand 4, and Brand 5) Hours life of battery in hours a. Plot the data using the Distribution platform. Describe what you see. b. Using the Fit Y by X platform, plot a one-way ANOVA to compare the life of the five different battery brands. What are the null and alternative hypotheses? c. What conclusion can you make from the ANOVA? d. Determine whether an ANOVA is a valid method of analysis for this data by testing to see whether the assumption of normality of the residuals holds. e. Check the assumption of equal variances statistically. Do the different brands of batteries have approximately equal variances? f. If the p-value from the Analysis of Variance report is smaller than 0.05, determine which differences among brands are significant using the Tukey-Kramer test.