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A well-known consumer products conglomerate claims that its laundry detergent "whitens and brightens better than all the rest". In order to test the conglomerate's cleansing action claim, the conglomerate's detergent was tested along with two other leading detergent brands. Nine swatches of white cloth were soiled with red wine and grass stains, and then washed in one of three different front-loading washing machines with the respective detergents. The following 'whiteness & brightness' readings were obtained: Detergent Detergent Detergent B C Machine 1 85 78 87 Machine 2 87 73 79 Machine 3 96 71 87 63.03 Grand Variance 82.56 Grand Mean Use Randomized Block Analysis with the machines as the block to determine if any detergents have different "whiteness & brightness" reading, and if so, which pairs. Set alpha to 5% (a=0.05). Remember to state the null and alternative hypotheses, and SHOW YOUR WORK