Homework 3

# Homework 3 - 118μm 126 μm 112μm 130μm 121μm 118μm...

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MEEN 260 Introduction to Engineering Experimentation Homework 3: Confidence Intervals Assigned: Thursday, 5 Feb. 2009 Due: Thursday, 12 th February 2009, 5:00pm Review the following concepts discussed in lecture: 1) Confidence Intervals based on Samples (Chapter 3, Sections 3.6) Homework Problems: Problem 1) 400 observations of engine power are made with hp x 300 = and hp s x 15 ± = . Assuming a 95% confidence level, determine: a) the expected range of the population mean b) the upper bound on the population mean Problem 2) 40 observations of torque are made with Nm x 300 = and Nm s x 15 ± = . Assuming a 95% confidence level, determine: a) the expected range of the population mean, b) the upper bound on the population mean. c) Compare the results with Problem 1 to determine the effect of sample size. Problem 3) A certain type of carbon nanotube is manufactured to a nominal dimension of 120 μm. A sample of six nanotubes was selected and the following measurements were made:
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Unformatted text preview: 118μm 126 μm 112μm 130μm 121μm 118μm Determine the upper and lower tolerance values within the population mean may be expected to fall with a significance level of 20%. Problem 4) Assume your friend used the same data given in Problem 3, and calculated the confidence interval as: x μm ± 8.491 μm What confidence level did your friend assume? Problem 5) Assume that the meltdown temperature of a nuclear reactor is 5000 C and that to guarantee safe operation we wish to ensure the mean temperature never rises above 2500 C. The following 10 random measurements are taken during standard operation: 2456 C 2499 C 2364 C 2257 C 2432 C 2447 C 2412 C 2346 C 2398 C 2489 C Calculate the upper limit below which the mean operating temperature is expected to fall with 99% confidence. Does this exceed acceptable limitations?...
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