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4_Prelab

4_Prelab - 1 X<4.0 2 4.0≤X<4.2 3 4.2≤X<4.4 4...

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ME 365 PRE-LAB EXERCISE FOR LABORATORY 4 FALL 2011 1 ESTIMATION OF MEAN AND STANDARD DEVIATION 1. In the following table, outer diameters of 20 randomly selected samples are presented. The experimental set-up and the input were the same for each measurement. Table 1: Measured outer diameter (in inches) of 20 samples 4.22 4.01 4.25 4.07 4.11 4.22 4.32 3.86 4.05 4.21 4.45 4.36 4.18 4.18 4.14 4.28 4.14 3.98 4.06 4.13 a) Find the sample mean, sample standard deviation and standard deviation of the sample mean. b) Find the 99% confidence interval for the true mean value. Show your calculation. c) Using the data given in Table 1, complete Table 2 below and sketch the histogram of the measured diameters. Table 2: Distribution of sampled data Bin No. Bin Range # Observed

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Unformatted text preview: 1 X<4.0 2 4.0≤X<4.2 3 4.2≤X<4.4 4 4.4≤X 2. The following MATLAB program will generate and plot a cosine waveform with its histogram. Run the program and explain why the histogram of the cosine wave looks the way it does. Print your plot and submit it with the answer. ME 365 PRE-LAB EXERCISE FOR LABORATORY 4 FALL 2011 2 clear all ; clc; A = 3; % signal amplitude w = 3*2*pi; % signal frequency (rad/s) T = 5; % maximum plot time (s) N = 400; % number of points to plot t = 0:T/N:T-T/N; % time vector y = A*cos(w*t); % cosine signal figure(1) subplot(2,1,1) plot(t,y); %plot the signal xlabel( 'Time (s)' ); ylabel( 'Signal' ); grid on ; NumBins = 20; subplot(2,1,2) hist(y,NumBins); % plot the histogram xlabel( 'Bins' ); ylabel( 'Point Count' ); grid on ;...
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4_Prelab - 1 X<4.0 2 4.0≤X<4.2 3 4.2≤X<4.4 4...

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