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? 6.75 6.16 7.14 7.07 7.44 5.10 8.90 5.25 8.65 7.25 8.74 8.15 (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.) (c) At α = .05, we would multiple choice fail to reject the null hypothesis. reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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?
 

                       
6.75 6.16 7.14 7.07 7.44 5.10 8.90 5.25 8.65 7.25 8.74 8.15
 

(a) For the following hypothesis
H0μ ≤ 6 versus H1μ > 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.)
 

 
(c) 
At α = .05, we would
 
multiple choice

  • fail to reject the null hypothesis.
  • reject the null hypothesis.
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