A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.0 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 7.0 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 6.5 ounces and that the standard deviation is 0.5 ounces. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type I error? A Type I error is the hypothesis that μ is when, in fact, μ is . Suppose that BIG d
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.0 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 7.0 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 6.5 ounces and that the standard deviation is 0.5 ounces. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type I error? A Type I error is the hypothesis that μ is when, in fact, μ is . Suppose that BIG d
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of
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.
, is less than
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
ounces and that the standard deviation is
ounces.
7.0
Believing that the mean amount of coffee dispensed by the machine,
μ
7.0
6.5
0.5
Based on this information, answer the questions below.
| What are the null hypothesis (
H0
H1
H0
μ
H1
μ
In the context of this test, what is a Type I error? A Type I error is the hypothesis that μ
μ
Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making? |
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