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Measurement Science - Assignment 2

# Measurement Science - Assignment 2 - c Plot the normal...

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Assignment No. 2 Due Date: January 29, 2007 Student UFID: 62441221 Student Name: Shane Christy N.B. Use tables in appendix D for the standard normal distribution calculations. 2.1 Determine the probability of having an error between -1.5 σ and +1.5 σ in a normal data set. What is it for ±2.5 σ ? The probability between -1.5 and 1.5 is .86638. The probability of having an error between +/-2.5 is .98758. 2.2 Determine the percentage point ( t value ) for E 80; explain its meaning. The percentage point (t value) is 1.2816. 2.3 If the mean of a population is 2.456 and its variance is 2.042, answer the following: a. What is the peak value for the normal distribution curve? .279 b. What are the points of inflection? 1.027 and 3.885 are the inflection points.

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Unformatted text preview: c. Plot the normal curve showing the peak value and the points of inflection. π σ 2 1 ) ( = = x f 2 2 2 2 1 ) ( x e x f y-= = INFLECTION POINTS 1.027 3.885 2.4 The following data represent 60 observations of a random data set: PEAK VALUE .279 1.67 7 1.67 6 1.65 7 1.66 7 1.67 3 1.67 1 1.67 3 1.67 1.67 5 1.66 4 1.66 4 1.66 8 1.66 4 1.65 1 1.66 3 1.66 5 1.67 1.67 1 1.65 1 1.66 5 a. Translate the data to a new center (by subtracting 1.66 from all values). Translated Values 0.017 0.004 0.000 0.008 0.002 0.016-0.009 0.007-0.002 0.012 0.007-0.003 0.007 0.003-0.003 0.007 0.005-0.008 0.030 0.007 0.013 0.010 0.004 0.006 0.003 0.011 0.011...
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Measurement Science - Assignment 2 - c Plot the normal...

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