Consider a random sample from the shift exponential probability density
function
A coin-operated soft-drink machine was designed to discharge, when it is
operating properly, at least 7 ounces of beverage per cup with a standard
deviation of 0.2 ounce. If a random sample of 16 cupfuls is selected by a
statistician for a consumer testing service, and the statistician is willing to
have a Type I error risk of 0.05, compute the power of the test and the
probability of a Type II error if the population average amount dispensed is
6.8 ounces per cup. (18%)
(1) Calculate the within-groups, between-group, and total sum of squares.(9%)
(2) Complete the analysis of variance table, and test the null hypothesis
that the population mean sales levels are the same for all three can
colors (α = 0.05 ). (12%)
Note: F(0.05, 2, 13) = 3.81; F(0.05, 3, 12) = 3.49
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