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please help 1. A craft coffee shop wished to compare Ethiopian coffee roasts from two highend roasters. Nine experienced coffee tasters were each provided a

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1. A craft coffee shop wished to compare Ethiopian coffee roasts from two highend roasters. Nine experienced coffee tasters were each provided a freshly brewed cup of both brands in identical glasses. They then rated the overall taste of each on a IOUpoint scale. Summary statistics are provided below. Taster Brand A Brand B B A 1 79 82 3 2 69 74 5 3 75 79 4 4 72 74 2 5 80 84 4 6 85 84 1 7 93 96 3 8 64 69 5 9 80 78 2 MEAN 77.4 80.0 2.6 STD 8.7 7.8 2.5 (a) Use a signicance level of 05 = 0.05 to test whether there is a signicant difference in the ratings of the two brands. You do not need to check conditions, but perform all other steps. (b) Estimate the mean difference in ratings by computing a 95% condence interval. State your inference in context

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