A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.3 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, μ, is less than 7.3 ounces, BIG plans to perform a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.1 ounces and that the standard deviation is 0.3 ounces. Based on this information, answer the questions below.
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A coin-operated coffee machine made by BIG Corporation was designed to discharge a
Based on this information, answer the questions below.
1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(choose one) 7.1 ounces, 0.3 ounces, or 7.3 ounces.
H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(Choose one) 7.1 ounces, 0.3 ounces, or 7.3 ounces.
2. In the context of this test, what is a Type I error?
A type I error is:
(choose one) rejecting or failing to reject the hypothesis the μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 7.1 ounces, 0.3 ounces, or 7.3 ounces, when, in fact, μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 7.1 ounces, 0.3 ounces, or 7.3 ounces.
3. Suppose that we decide to reject the null hypothesis. What sort of error might we be making?
(Choose one) Type I or Type II
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