An article in Food Testing and Analysis [Improving Reproducibility of Refractometry Measurements of Fruit Juices (1999, Vol.
Question:
(a) Test the hypothesis H0: μ = 11.5 versus H1: μ 11.5 using α = 0.05. Find the P-value.
(b) Compute the power of the test if the true mean is 11.4.
(c) What sample size would be required to detect a true mean sugar concentration of 11.45 if we wanted the power of the test to be at least 0.9?
(d) Explain how the question in part (a) could be answered by constructing a two-sided confidence interval on the mean sugar concentration.
(e) Is there evidence to support the assumption that the sugar concentration is normally distributed?
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Related Book For
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
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