The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams) are as follows: 131.23 130.67 130.91 129.54 129.64 128.77 130.72 128.33 128.24 129.65 130.14 129.29 128.71 129.00 129.39 130.42 129.53 130.12 129.78 130.92 (a) Test the hypothesis Ho: μ = 130 versus H₁ : μ 130. Use a = 0.05. Ho- (b) Find the best lower-bound and upper-bound for the P-value for this test. < P-value < (c) Approximate the power of the test if the true mean sodium content is 130.5 milligrams. The power of the test is (d) Approximately what sample size would be required to detect a true mean sodium content of 130.1 milligrams if we wanted the power of the test to be at least 0.75?

The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams) are as follows: 131.23 130.67 130.91 129.54 129.64 128.77 130.72 128.33 128.24 129.65 130.14 129.29 128.71 129.00 129.39 130.42 129.53 130.12 129.78 130.92 (a) Test the hypothesis Ho: μ = 130 versus H₁ : μ 130. Use a = 0.05. Ho- (b) Find the best lower-bound and upper-bound for the P-value for this test. < P-value < (c) Approximate the power of the test if the true mean sodium content is 130.5 milligrams. The power of the test is (d) Approximately what sample size would be required to detect a true mean sodium content of 130.1 milligrams if we wanted the power of the test to be at least 0.75?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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