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157 Note 7 for M E 345 with Professor Cimbala at PSU

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 22 views.

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Date Created: 02/06/15
M E 345 Fall 2009 Professor John M Cimbala Today we will Do some review example problems predicting the mean using the t PDF Finish reviewing the pdf module Other PDFs the Chisquared PDF Do some example problems chisquared PDF mm M TIME Example Estimating the population mean Given A company produces resistors by the thousands and Gerry is in charge of quality control He picks 20 resistors at random as a sample and calculates the sample mean f 8240 kQ and sample standard deviation S 0314 kQ To do 39 10 a Estimate the population mean and the con dence interval of the population mean as a i value to standard 95 confidence level b Repeat for 99 confidence level Do you expect the con dence interval to be wider or narrower Solution 1 7 15 E M No Mr 0L Ulnm thmy twain han e o39 zo AF vm 3 Q 332 MA lWIl lo LI k0 JCWL 10530 I Tluv a 3f vaeoy 19 quot Example Estimating the population mean Given Five measurements are made of the force required to break an expensive component too costly to do more 3122 3206 3155 3141 and 3196 lbf The sample mean and sample standard deviation of these data are and 3592 lbf a To do Estimate the population mean and its con dence interval for 95 confidence level b To do Estimate how many samples would need to be taken to reduce the confidence interval to i20 lbf Solution 5 Km 1 39 if L m A i m a e m m 1 mr J I K AA 3143 Mt lUJ A ck M39043 ILt G 317 W lmu Lm W l 111 vtilWV 6quot jut 31M 1 10 M S39 rel J t x t rd 3 Esumo in lm lot1 20 f 9 SM 4 n 13w 1 ink or no TIW Mama we ALIA 3 1 12 7 l 5W In 8quot 39A AF 39 L E39 0 V IMPupland l c 3 21411 My 3 r IL L33 HA1 1m N m H gyL amemo rm ml Example Estimating population mean and standard deviation Given A quality control engineer pulls 10 resistors at random from an assembly line that makes 10kQ resistors and measures each esistance The measurements are given here Measurement number Resistance kQ 391 39 39 1010 1008 sample mean 10087 kQ 1011 sample standard deviation 002312 kQ 1009 1007 1005 1012 1011 1008 10 1006 OOIOUIJgtUJN1 a D a To do Estimate the population mean and its con dence interval for 95 confidence level b To do Estimate the population standard deviation and its con dence interval for 95 confidence level c To do The company guidelines specify that the population standard deviation be less than 035 of the mean to 98 con dence Estimate how many additional resistors the quality control engineer needs to pull off the assembly line to measure Solution A 1 k 3 96 2 t 0017 We u W1 U1 70 w N am 39 w m cmuw Q 6mg 1W1 11 1 39 09 1 nchquot 0 00K 3 70 mom 1 037 3 1H mm 7 BW eJhmk or 6 r 6 on OS 1 00153 1w 7Lquot 3901 Junv gm 5 QM SI WEI 1 130153 lt C 4 Wm Ml mum A 639 R 1b 937 405144 NM C S 01023114 La W WM 6 9 390 I mquot W0 03S A F a Mum 03f M qok 39 F 69981 kn 003311 Plyfquot db 06 0 L0 us mm 1 e 3839 4953quot Vk C I agr n M puu d Vibe 12K S m A V 9 Mo F j mm megvmmaqb NW9 m u om M New mu 5 v Amy 03 m u mm M fmnt In our awn

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