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Assignment 2 - CE93-Engineering Data Analysis Joan Walker...

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CE93-Engineering Data Analysis Joan Walker, Spring 2011 Assignment 2 Due 2/9/2011 11:10 AM 1. The following data represent the lifetimes (in hours) of a sample of 40 transistors: 112 121 126 108 141 104 136 134 121 118 143 116 108 122 127 140 113 117 126 130 134 120 131 133 118 125 151 147 137 140 132 119 110 124 132 152 135 130 136 128 a. Compute the sample mean and sample median. b. Are the data approximately normal? c. Compute mean absolute deviation and the sample standard deviation d. Compute the sample coefficient of variation. e. What percentage of the data fall within ? ± 1.5 ? ? Compare your answer to the bound given by Chebyshev s inequality. 2. Problem 3.3 in Ross. 3. Problem 3.14 in Ross. 4. The designs for a plane specify the wingspan, b, to be between 21 and 30 ft. To maintain lift during slow flight, the aspect ratio, (AR = b 2 /S, where b is the wingspan and S is the wing area), must be at least 9. Due to construction limitations, the wing area must be at least 49 ft 2 . a. Draw the sample space for the plane’s wingspan and wing area (hint: draw the sample space using b 2 instead of b) b. Identify the following events within the sample space in (a).
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