hw2_sol

hw2_sol - A B 1 Random Numbers 2 Normal Dist 3 103.437 4 5...

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 A B C D E F G H I J Random Numbers Normal Dist 103.437 H 0 X ~ N(100, 6 2 ) 95.289 H 1 Not True 92.941 Bin Frequency (o-e)^2/e 89.333 # of Bins 22.4 =SQRT(500) 89.856 14 3.351 98.347 Use 22 91.989 26 0.471 100.387 Exp Freq 22.73 =500/22 93.419 21 0.131 99.689 94.549 26 0.471 95.384 Bin # F(x) X 95.513 23 0.003 102.725 1 0.045 89.856 96.372 16 1.991 97.167 2 0.091 91.989 97.163 22 0.023 103.911 3 0.136 93.419 97.907 27 0.803 104.828 4 0.182 94.549 98.621 24 0.071 89.723 5 0.227 95.513 99.315 18 0.983 100.605 6 0.273 96.372 100.000 32 3.783 99.270 7 0.318 97.163 100.685 19 0.611 99.703 8 0.364 97.907 101.379 14 3.351 103.162 9 0.409 98.621 102.093 27 0.803 105.805 10 0.455 99.315 102.837 19 0.611 98.629 11 0.500 100.000 103.628 21 0.131 94.710 12 0.545 100.685 104.487 30 2.327 100.584 13 0.591 101.379 105.451 27 0.803 96.661 14 0.636 102.093 106.581 25 0.227 100.777 15 0.682 102.837 108.011 19 0.611 113.842 16 0.727 103.628 110.144 23 0.003 95.022 17 0.773 104.487 More 26 0.471 106.608 18 0.818 105.451 105.340 19 0.864 106.581 Sum 22.036 93.680 20 0.909 108.011 94.578 21 0.955 110.144 104.049 94.068 F(x) = Bin # / 22 102.350 X = NORMINV(F(x),100,6) 97.171 99.411 χ 2 α 32.67056 =CHIINV(0.05,21) 99.041 χ 2 obs 22.036 97.282 Since χ 2 obs < χ 2 α Fail to Reject H 0 102.205 109.444 94.197 113.664 110.525 99.449 85.932 104.519 90.732 101.287 111.798 91.370 115.543 112.173 92.019 94.471 96.705 98.224
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hw2_sol - A B 1 Random Numbers 2 Normal Dist 3 103.437 4 5...

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