A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 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, u, is less than 7.2 ounces, BIG plans to do 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 ounces and that the standard deviation is 0.3 ounces. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should used for the test? H: u is ? H;: u is (? v? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making?
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 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, u, is less than 7.2 ounces, BIG plans to do 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 ounces and that the standard deviation is 0.3 ounces. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should used for the test? H: u is ? H;: u is (? v? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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