Beer shelf life is a problem for brewers and distributors because when beer is s

Question

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 g per liter, a typical consumer begins to taste an unpleasant chemical flavor. At = .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?

H0: 6 versus H1: > 6, what is the value of the test statistic? (Round your answer to 3 decimal places.)

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 g per liter, a typical consumer begins to taste an unpleasant chemical flavor. At = .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?

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 6
HA : > 6

Hypothesis test results:

Hence,

a) Test statistic = 2.71

b) p - Value = 0.0101

c) Since p - value < 0.05, we reject the null hypothesis.

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