An article in Food Testing and Analysis [Improving Reproducibility of Refractometry Measurements of Fruit Juices (1999, Vol. 4(4), pp. 1317)] measured the sugar concentration (Brix)

An article in Food Testing and Analysis [€œImproving Reproducibility of Refractometry Measurements of Fruit Juices€ (1999, Vol. 4(4), pp. 13€“17)] measured the sugar concentration (Brix) in clear apple juice. All readings were taken at 20°C:

(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?

11.45 11.42 11.47 11.47 11.45 11.47 11.46 11.48 11.50 11.48 11.44 11.43 11.48 11.46 11.45 11.45 11.50 11.49 11.47