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171 Class Note for M E 345 with Professor Cimbala at PSU

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This 2 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 a review example problem basic statistics Review the pdf module Histograms Do some example problems histograms Review the pdf module Probability Density Functions PDFs Do some example problems PDFs Example Basic statistics Given The true exact speed in a wind tunnel is 4463 ms Ten velocity readings are taken The sample mean is 44580 ms A 4454 tuna 4462 W411 I M 7 39H L 4456 4461 11 o LLlSK 33 I 14451 I 445 y 4459 H or 4463 41 4458 43 To do Calculate the following giving your answers to the appropriate number of significant digits a The systematic or bias error of the instrument based on these readings b The sample median c The sample mode V3 F 3 01 quot W VAquot Solution HWSIQ 63 1 ONX VI1 01 u M N bunch V Wonk d Rr Kw mmgt See also Excel spreadsheet on the website for this same problem Example Histograms Given The histogram shown here not normalized produced in Excel from 50 voltage measurements To do a How many data points have a voltage less than or equal to 6 V b How many data points have a voltage that lies between 6 V and 8 c How many data points have a voltage that lies between 3 V quot V d What is the probability 1 t that a given reading lies between 5 V and 6 V 2 When we transform the vertical axis from frequency number of data points to x vertically normalized histogram what is the value of x for the bin labeled 6 on the horizontal axis f The sample mean is 6 Z6 and the sample standard deviation is 131 When we transform the vertically normalized histogramx into a PDF and then into a normalized PDF what is the value of z for x 85 Solution Pm Eh in 01 s 395 PUP 61 1 J 970391 n 63 b 3 o Lo 1 64 1c ear M Hanv n x S i a CFb Q3nna 01m z 11 Ys m c 5 m

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