Homework 3 Solution

# Homework 3 Solution - MEEN 260 Introduction to Engineering...

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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: 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: 120 μm ± 8.491 μm What confidence level did your friend assume?

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## This note was uploaded on 07/28/2010 for the course MEEN 260 taught by Professor Langari during the Fall '08 term at Texas A&M.

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Homework 3 Solution - MEEN 260 Introduction to Engineering...

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