Beer shelf life is a problem for brewers and distributors because when beer is stored at room temperature, its favor deteriorates. When the average furfuryl ether content reaches 6 g per liter, a typical consumer begins to taste an unpleasant chemical favor. (a) At α = .05, would the following sample of 12 randomly chosen bottles stored for a month convince you that the mean furfuryl ether content exceeds the taste threshhold? (b) What is the p-value?

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653,5.68, 8.10,7.50, 6.32,8.75,5.98,750,501,5.95,6.40,702