Beer shelf life is a problem for brewers and distributors because when beer is stored at room temperature, its flavor deteriorates. When the average furfuryl ether content reaches 6 μg per liter, a typical consumer begins to taste an unpleasant chemical flavor. 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? 8.67 8.77 6.84 8.39 7.39 6.34 5.19 5.43 6.93 6.97 5.74 7.00 PictureClick here for the Excel Data File (a) For the following hypothesis H0: μ ≤ 6 versus H1: μ > 6, what is the value of the test statistic? (Round your answer to 3 decimal places.) Test statistic (b) What is the p-value? (Round your answer to 4 decimal places.) p-value (c) At α = .05, we would fail to reject the null hypothesis. reject the null hypothesis.