ME345_Lecture_06

ME345_Lecture_06 - To do Estimate the population standard...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 06 01/28/2008 Today, we will : Review the pdf module: The Central Limit Theorem (CLT) Do some example problems – CLT Review the pdf module: Other PDFs Do some example problems – using the student’s t PDF to predict population mean Example Given : Ron takes 50 pressure measurements, and repeats this 19 more times, for a total of 20 samples of 50 data points each. He calculates the sample mean for each set (sample) of 50 measurements. The standard deviation of the 20 sample means is 0.150 kPa.

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Unformatted text preview: To do : Estimate the population standard deviation of all the measurements (in units of kPa to 3 significant digits). Solution : Example Given : Five measurements are made of the force required to break an expensive component (too costly to do more): 312.2, 320.6, 315.5, 314.1, and 319.6 lbf ( a ) To do : Estimate the population mean and its confidence interval for 95% confidence level. Solution : ( b ) To do : Estimate how many samples would need to be taken to reduce the confidence interval to ± 2.0 lbf. Solution :...
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This note was uploaded on 07/23/2008 for the course ME 345 taught by Professor Staff during the Spring '08 term at Penn State.

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ME345_Lecture_06 - To do Estimate the population standard...

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