Q2. A large company buys thousands of light bulbs every year. The company is currently considering three brands of light bulbs to choose from. Before the company decides which light bulbs to buy, it wants to investigate if the mean lifetimes of the three types of light bulbs are the same. The company's research department randomly selected a few bulbs of each type and tested them. The following table lists the number of hours (in thousands) that each of the bulbs in each brand lasted before being burned out. Brand I Brand II 19 Brand III 25 22 24 18 23 24 20 21 (a) Construct ANOVA table mentioning all necessary columns for this example. (b) At 1% significance level, test the null hypothesis that the mean lifetime of bulbs for each of three brands is the same.

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