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SIMULATION HOMEWORK – CHI SQUARE TEST Due: Thursday, April 14 - Classtime 9 4 7 3 7 8 2 2 5 3 5 6 1 4 2 4 8 2 6 8 8 3 1 9 0 5 5 9 5 5 8 7 0 1 5 7 3 6 5 7 4 7 5 9 8 7 2 5 9 8 5 9 8 2 1 3 2 9 6 7 4 8 6 3 9 9 9 8 6 6 5 8 8 5 0 6 3 9 1 5 0 2 4 8 6 3 8 5 6 6 6 6 1 2 1 1 6 3 4 8 6 6 1. Build a table and draw a graph of the distribution of the above set of single digit values. State the probability of each value. 2. Compute the average and the standard deviation of the set of values. 3. Perform the Chi-Square Goodness of Fit test on the set of data to determine if the set of data conforms to each of the following distributions. a. b. c. 12 21 26 22 26 26 17 22 28 31 26 28 21 21 29 24 25 29 25 22 20 29 25 31 29 21 30 25 26 19 33 23 31 30 26 Uniform in the given range. Normal with mean and standard deviation as computed in 2. Exponential with the given mean. 35 20 31 30 25 40 21 31 26 25 37 23 28 31 24 38 24 29 29 24 33 25 28 29 18 32 26 29 29 30 34 27 27 28 23 32 23 27 29 19 33 23 29 30 38 34 27 31 31 36 34 27 31 28 31 33 24 31 28 35 34 24 29 28 27 32 23 28 23 40 16 23 17 23 12 ** Answer questions 1 – 3 using the above set of data ** 19 24 27 24 36 20 25 28 24 28