((1.96)2((.50)(.50)))/(.01)2 ((3.8416)(.25))/.0001 .9604/.0001 9604 8.51 D-bar = 200.63/200 D-bar = 1.003 Di Di (Di D-bar)2 – – 13.76 12.757 162.741 42.87 41.867 1752.846 34.65 33.647 1132.121 11.09 10.087 101.748 14.54 13.537 183.25 22.87 21.867 478.166 24.517 601.083 25.52 9.81 8.807 77.563 10.01 9.027 81.487 15.49 14.487 209.873 0 (x190) -1.003 1.006 (x190) = 191.14 D-bar)2 = 4972.018 ∑(Di – SD = √(4972.018/199) SD = √24.985 SD = 4.999 tα/2 = 196 (10000)(1.003) ± (10000)(1.96)(4.999/√200)(√((10000 200)/(10000 1)))\ – – 10030 ± 19600(.357)(.989998995) 10030 ± 19600(.349) 10030 ± 6840.40 3189.60 Total Difference 16870.40 ≤ ≤
((1.96)2((.50)(.50)))/(.01)2 ((3.8416)(.25))/.0001 .9604/.0001 9604 8.51 D-bar = 200.63/200 D-bar = 1.003 Di Di – (Di – D-bar)2 13.76 12.757 162.741 42.87 41.867 1752.846 34.65 33.647 1132.121 11.09 10.087 101.748 14.54 13.537 183.25 22.87 21.867 478.166 25.52 24.517 601.083 9.81 8.807 77.563 10.01 9.027 81.487 15.49 14.487 209.873 0 (x190) -1.003 1.006 (x190) = 191.14 ∑(Di – D-bar)2 = 4972.018 SD = √(4972.018/199) SD = √24.985 SD = 4.999 tα/2 = 196 (10000)(1.003) ± (10000)(1.96)(4.999/√200)(√((10000 – 200)/(10000 – 1)))\ 10030 ± 19600(.357)(.989998995) 10030 ± 19600(.349) 10030 ± 6840.40 3189.60 ≤ Total Difference ≤ 16870.40