Determine the following: Do you think the engineer is correct? Use α = 0.05. What is the P-value for this test? What is the power of the test in part (a) for a true difference in means of 0.04? Find a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval. Assuming equal sample sizes, what sample
Determine the following: Do you think the engineer is correct? Use α = 0.05. What is the P-value for this test? What is the power of the test in part (a) for a true difference in means of 0.04? Find a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval. Assuming equal sample sizes, what sample
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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Determine the following:
- Do you think the engineer is correct? Use α = 0.05.
- What is the P-value for this test?
- What is the power of the test in part (a) for a true difference in means of 0.04?
- Find a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval.
- Assuming equal sample sizes, what sample size should be used to assure that β = 0.05 if the true difference in means is 0.04? Assume that α = 0.05.
Transcribed Image Text:Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be
assumed normal, with standard deviation o1 = 0.020 and o2 = 0.025 ounces. A member of the quality
engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume
is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. .
МАCHINE 1
МАCHINE 2
16.03
16.01
16.02
16.03
16.04
15.96
15.97
16.04
16.05
15.98
15.96
16.02
16.05
16.02
16.01
16.01
16.02
15.99
15.99
16.00
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With the same given above, can you please answer the remaining two questions below?
- Find a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval.
- Assuming equal sample sizes, what
sample size should be used to assure that β = 0.05 if the true difference in means is 0.04? Assume that α = 0.05.
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