Wine-pouring vending machines, previously available in Europe and international airports, have become popular in the last few years in the United States. They are even approved to dispense wine in some Wal-Mart stores. The available pouring options are a 5-ounce glass, a 2.5-ounce half-glass, and a 1-ounce taste. When the machine is in statistical control (see Exercise 7.42), the amount dispensed for a full glass is 5.1 ounces. Four observations are taken each day, to plot a daily mean over time on a control chart to check for irregularities. The most recent day’s observations were 5.05, 5.15, 4.95, and 5.11. Could the difference between the sample mean and the target value be due to random variation, or can you conclude that the true mean is now different from 5.1? Answer by showing the five steps of a significance test, making a decision using a 0.05 significance level.
Answer to relevant QuestionsIn Exercise 9.24, a fast-food chain compared two ways of promoting a turkey burger. In a separate experiment with 10 pairs of stores, the difference in the month’s increased sales between the store that used coupons and ...Results of 99% confidence intervals are consistent with results of two-sided tests with which significance level? Explain the connection. Consider medical diagnostic testing, such as using a mammogram to detect if a woman may have breast cancer. Define the null hypothesis of no effect as the patient does not have the disease. Define rejecting H0 as concluding ...Refer to Example 12. Using a tree diagram, given that H0 is rejected, approximate P(Type I error) under the assumption that a true effect exists 20% of the time and that there’s a 30% chance of a Type II error. For each of the following hypotheses, explain whether it is a null hypothesis or an alternative hypothesis: a. For females, the population mean on the political ideology scale is equal to 4.0. b. For males, the population ...
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