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PS_6_QUESTIONS

PS_6_QUESTIONS - 0.27 0.34 0.65 0.79 0.03 0.49 0.69 0.85...

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IE 306 PS#6 03.04.09 1. Use the linear congruential method to generate a sequence of three two-digit random integers. Let X 0 = 27, a = 8, c = 47, and m = 100. 2. Do we encounter a problem in the previous exercise if X 0 = 0 ? 3. Use the chi-square test with α = 0.05 to test whether the data shown below are uniformly distributed. 0.43 0.09 0.52 0.98 0.78 0.44 0.21 0.12 0.64 0.76 0.38 0.67 0.97 0.46 0.07 0.18 0.49 0.47 0.22 0.47 0.69 0.99 0.77 0.76 0.65 0.14 0.25 0.37 0.99 0.20 0.74 0.03 0.71 0.28 0.65 0.50 0.54 0.13 0.87 0.50 0.97 0.17 0.32 0.91 0.28 0.39 0.56 0.73 0.93 0.24 0.99 0.71 0.99 0.64 0.50 0.66 0.01 0.24 0.81 0.94 0.73 0.15 0.45 0.10 0.18 0.82 0.96 0.43 0.57 0.94
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Unformatted text preview: 0.27 0.34 0.65 0.79 0.03 0.49 0.69 0.85 0.37 0.50 0.60 0.93 0.48 0.42 0.04 0.46 0.04 0.91 0.97 0.26 0.81 0.62 0.79 0.88 0.46 0.74 0.06 0.11 0.92 0.87 4. The sequence of numbers 0.54, 0.73, 0.98, 0.11, and 0.68 has been generated. Use the Kolmogorov-Smirnov test with α = 0.05 to determine if the hypothesis that the numbers are uniformly distributed on the interval [0, 1] can be rejected. 5. A sequence of 1000 four-digit numbers has been generated and an analysis indicates the following combinations and frequencies. Test whether these numbers are independent. Use α = 0.05....
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