10. Lasers can provide highly accurate measurements of small movements. To determine the accuracy of such a laser, it was used to take 49 measurements of a known quantity. The sample mean error was 25 µm with a standard deviation of 80 µm. The laser is not properly calibrated if the mean error, µ, is statistically different from 0. a. Construct a 99% confidence interval for the mean error. b. Interpret your interval in context in a way that expresses more than just how confident you are. Determine the sample size necessary to reduce the margin of error to 12 um. Assume the standard deviation remains 80 µm. Conduct a hypothesis test to determine whether the mean error differs from 0 as follows: с. d. i. State the appropriate null and alternative hypotheses. Compute the appropriate test statistic. Use n = 49. Compute the P – value. Using only your P – value (a is unknown at this point), state your conclusion in context. Is there sufficient evidence at a = .05 that the laser is not properly calibrated? Explain. ii. iii. iv. v.

10. Lasers can provide highly accurate measurements of small movements. To determine the accuracy of such a laser, it was used to take 49 measurements of a known quantity. The sample mean error was 25 µm with a standard deviation of 80 µm. The laser is not properly calibrated if the mean error, µ, is statistically different from 0. a. Construct a 99% confidence interval for the mean error. b. Interpret your interval in context in a way that expresses more than just how confident you are. Determine the sample size necessary to reduce the margin of error to 12 um. Assume the standard deviation remains 80 µm. Conduct a hypothesis test to determine whether the mean error differs from 0 as follows: с. d. i. State the appropriate null and alternative hypotheses. Compute the appropriate test statistic. Use n = 49. Compute the P – value. Using only your P – value (a is unknown at this point), state your conclusion in context. Is there sufficient evidence at a = .05 that the laser is not properly calibrated? Explain. ii. iii. iv. v.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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