ME345_Lecture_07

ME345_Lecture_07 - confidence level c To do The company...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 07 01/30/2008 Today, we will : Review the second half of the pdf module: Other PDFs (The Chi-Squared PDF) Do some example problems – t PDF and chi-squared PDF Review the pdf module: Correlation and Trends Do some example problems – correlation and trends Example Given : A quality control engineer pulls 10 resistors at random from an assembly line that makes 10-k Ω resistors, and measures each resistance. The measurements are given here: Measurement number Resistance, k Ω 1 10.10 2 10.08 3 10.11 4 10.09 5 10.07 6 10.05 7 10.12 8 10.11 9 10.08 10 10.06 ( a ) To do : Estimate the population mean and its confidence interval for 95% confidence level. ( b ) To do : Estimate the population standard deviation and its confidence interval for 95%

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Unformatted text preview: confidence level. ( c ) To do : The company guidelines specify that the population standard deviation be less than 0.35% of the mean to 98% confidence level. Estimate how many additional resistors the quality control engineer needs to pull off the assembly line to measure. Solution : Example Given : Several measurements are taken in a wind tunnel of pressure difference as a function of distance normal to the direction of flow over a body. Data point x (mm) Δ P (kPa) 1 0 0.356 2 2.0 0.679 3 4.0 0.478 4 6.0 0.564 5 8.0 0.390 6 10.0 0.581 7 15.0 0.805 8 20.0 0.723 ( a ) To do : Calculate the linear correlation coefficient Solution : ( b ) To do : To what confidence level can we state that there is a trend in the data? Solution :...
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ME345_Lecture_07 - confidence level c To do The company...

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