Book1
31
440 880 14.32 20.12 18.22 21.54 One sided 14.78 23.35 alpha 12.33 16.99 0.05 1.645 12.81 18.28 0.01 2.326 19.27 18.31 13.54 20.39 9.38 9.29 14.03 15.27 t 14.89 17.12 3.736905 14.45 17.1 12.44 16.33 14.37 15.79 14.85 15.23 9.79 15.68 9.88 14.57 12.92 15.33 13.55 16.44 15.14 17.45 15.7 16.29 mean 13.833 17.0435 std dev 2.471318 2.941903 sp 7.381102 2.716818
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440 88014.32 20.1218.22 21.54 One sided14.78 23.35 alpha12.33 16.99 0.05 1.64512.81 18.28 0.01 2.32619.27 18.3113.54 20.39
9.38 9.2914.03 15.27 t14.89 17.12 3.73690514.45 17.112.44 16.3314.37 15.7914.85 15.23
9.79 15.689.88 14.57
12.92 15.3313.55 16.4415.14 17.45
15.7 16.29
mean 13.833 17.0435std dev 2.471318 2.941903sp 7.381102 2.716818
StateSeattleBerlinLondonParisTokyo
Hypothesis
Try not to let fatigue affect 8:00 AM14.32 20.1212.81 18.28
Null: no difference between 440 14.03 15.2714.37 15.7912.92 15.33
12pm14.78 23.3513.54 20.3914.45 17.1
9.79 15.6815.14 17.45
Reject null440 is less time
02460246024602460
Revenue Expense 270 20 485 55 660 4035 6080 20
10am 2pm18.22 21.54 12.33 16.9919.27 18.31 9.38 9.2914.89 17.12 12.44 16.3314.85 15.23 9.88 14.5713.55 16.44 15.7 16.29
A2 xbar R n =2 1.88 D4 = 3.267
17.22 14.32 20.12 5.8 3.26719.88 18.22 21.54 3.32
19.065 14.78 23.35 8.5714.66 12.33 16.99 4.66
15.545 12.81 18.28 5.47 UCL 21.6713918.79 19.27 18.31 0.96 LCL 9.20511
16.965 13.54 20.39 6.859.335 9.38 9.29 0.0914.65 14.03 15.27 1.24
16.005 14.89 17.12 2.2315.775 14.45 17.1 2.6514.385 12.44 16.33 3.89
15.08 14.37 15.79 1.4215.04 14.85 15.23 0.38
12.735 9.79 15.68 5.8912.225 9.88 14.57 4.6914.125 12.92 15.33 2.4114.995 13.55 16.44 2.8916.295 15.14 17.45 2.3115.995 15.7 16.29 0.59
15.43825 3.3155 rbar
R UCL3/12/2016 8:00 5.8 10.83174 3.3155
10:00 AM 3.32 10.83174 3.315512:00 PM 8.57 10.83174 3.3155
2:00 PM 4.66 10.83174 3.31553/13/2016 8:00 5.47 10.83174 3.3155
10:00 AM -0.96 10.83174 3.315512:00 PM 6.85 10.83174 3.3155
2:00 PM -0.09 10.83174 3.31553/19/2016 8:00 1.24 10.83174 3.3155
10:00 AM 2.23 10.83174 3.315512:00 PM 2.65 10.83174 3.3155
2:00 PM 3.89 10.83174 3.31554/2/2016 8:00 1.42 10.83174 3.3155
10:00 AM 0.38 10.83174 3.315512:00 PM 5.89 10.83174 3.3155
2:00 PM 4.69 10.83174 3.31554/3/2016 8:00 2.41 10.83174 3.3155
10:00 AM 2.89 10.83174 3.3155
12:00 PM 2.31 10.83174 3.31552:00 PM 0.59 10.83174 3.3155
D4 = 3.267xbar UCL LCL
3/12/2016 8:00 17.22 21.67139 9.20511 15.4382510:00 AM 19.88 21.67139 9.20511 15.4382512:00 PM 19.065 21.67139 9.20511 15.43825
2:00 PM 14.66 21.67139 9.20511 15.438253/13/2016 8:00 15.545 21.67139 9.20511 15.43825
10:00 AM 18.79 21.67139 9.20511 15.4382512:00 PM 16.965 21.67139 9.20511 15.43825
2:00 PM 9.335 21.67139 9.20511 15.438253/19/2016 8:00 14.65 21.67139 9.20511 15.43825
10:00 AM 16.005 21.67139 9.20511 15.4382512:00 PM 15.775 21.67139 9.20511 15.43825
2:00 PM 14.385 21.67139 9.20511 15.438254/2/2016 8:00 15.08 21.67139 9.20511 15.43825
10:00 AM 15.04 21.67139 9.20511 15.4382512:00 PM 12.735 21.67139 9.20511 15.43825
2:00 PM 12.225 21.67139 9.20511 15.438254/3/2016 8:00 14.125 21.67139 9.20511 15.43825
10:00 AM 14.995 21.67139 9.20511 15.4382512:00 PM 16.295 21.67139 9.20511 15.43825
2:00 PM 15.995 21.67139 9.20511 15.43825
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xbar UCL LCL Column N
Column O Column P Column Q Column RS
econ
ds
-2
0
2
4
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10
12
R UCL
-2
0
2
4
6
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10
12
R UCL
17.51596 19.59368 13.36054 11.2828217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.4144217.45016 19.46208 13.42634 11.41442
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xbar UCL LCL Column N
Column O Column P Column Q Column R
-2
0
2
4
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12
R UCL
-2
0
2
4
6
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12
R UCL
440 mR 880 mR14.32 20.1218.22 3.9 21.54 1.4214.78 3.44 23.35 1.8112.33 2.45 16.99 6.3612.81 0.48 18.28 1.2919.27 6.46 18.31 0.0313.54 5.73 20.39 2.08
9.38 4.16 9.29 11.114.03 4.65 15.27 5.9814.89 0.86 17.12 1.8514.45 0.44 17.1 0.0212.44 2.01 16.33 0.7714.37 1.93 15.79 0.5414.85 0.48 15.23 0.56
9.79 5.06 15.68 0.459.88 0.09 14.57 1.11
12.92 3.04 15.33 0.7613.55 0.63 16.44 1.1115.14 1.59 17.45 1.01
15.7 0.56 16.29 1.16xbar 13.833 2.524211 17.0435 2.0742105263 rbar
UCL LCL UCL LCL20.5474 7.1186 22.5609 11.5261
A 440 Hz3/12/2016 8:00 14.32
10:00 AM 18.2212:00 PM 14.78
2:00 PM 12.333/13/2016 8:00 12.81
10:00 AM 19.2712:00 PM 13.54
2:00 PM 9.383/19/2016 8:00 14.03
10:00 AM 14.8912:00 PM 14.45
2:00 PM 12.444/2/2016 8:00 14.37
10:00 AM 14.8512:00 PM 9.79
2:00 PM 9.884/3/2016 8:00 12.92
10:00 AM 13.5512:00 PM 15.14
2:00 PM 15.7
0
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A 440 Hz Moving Range
A 440 Hz Column H Column I Column J
Column K Column L Column M Column N
###10:00 AM12:00 PM
2:00 PM###
10:00 AM12:00 PM
2:00 PM###
10:00 AM12:00 PM
2:00 PM###
10:00 AM12:00 PM
2:00 PM###
10:00 AM12:00 PM
2:00 PM
16.07113 18.30927 11.59487 9.356733
20.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.35673320.5474 7.1186 13.833 16.07113 18.30927 11.59487 9.356733
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A 880 Hz Moving Range
A 880 Hz Column P Column Q Column R
Column S Column T Column U Column V
0
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15
20
25
A 440 Hz Moving Range
A 440 Hz Column H Column I Column J
Column K Column L Column M Column N
18.88263 20.72177 15.20437 13.36523
A 880 Hz20.12 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652321.54 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652323.35 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652316.99 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652318.28 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652318.31 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652320.39 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.36523
9.29 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652315.27 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652317.12 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.36523
17.1 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652316.33 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652315.79 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652315.23 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652315.68 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652314.57 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652315.33 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.36523
16.44 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652317.45 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.3652316.29 22.5609 11.5261 17.0435 18.88263 20.72177 15.20437 13.36523
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A 880 Hz Moving Range
A 880 Hz Column P Column Q Column R
Column S Column T Column U Column V
14.32 20.1218.22 21.5414.78 23.35 alpha t df12.33 16.99 0.05 2.093 1912.81 18.2819.27 18.3113.54 20.39
9.38 9.2914.03 15.27 44014.89 17.12 Lower limit Upper limit14.45 17.1 12.6764 14.989612.44 16.3314.37 15.79 88014.85 15.23 Lower limit Upper limit
9.79 15.68 15.66666 18.420349.88 14.57
12.92 15.3313.55 16.4415.14 17.45
15.7 16.29
13.833 17.0435 Mean2.471318 2.941903 StdDev
A 440 Hz A 880 Hz3/12/2016 8:00 14.32 20.12
10:00 AM 18.22 21.5412:00 PM 14.78 23.35
2:00 PM 12.33 16.993/13/2016 8:00 12.81 18.28
10:00 AM 19.27 18.3112:00 PM 13.54 20.39
2:00 PM 9.38 9.293/19/2016 8:00 14.03 15.27
10:00 AM 14.89 17.1212:00 PM 14.45 17.1
2:00 PM 12.44 16.334/2/2016 8:00 14.37 15.79
10:00 AM 14.85 15.2312:00 PM 9.79 15.68
2:00 PM 9.88 14.574/3/2016 8:00 12.92 15.33
10:00 AM 13.55 16.4412:00 PM 15.14 17.45
2:00 PM 15.7 16.29
0
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Run Chart of Times
A 440 Hz A 880 Hz
Seco
nds
440 880R1 17.22 14.32 20.12 5.82 19.88 18.22 21.54 3.323 19.065 14.78 23.35 8.574 14.66 12.33 16.99 4.665 15.545 12.81 18.28 5.476 18.79 19.27 18.31 -0.967 16.965 13.54 20.39 6.858 9.335 9.38 9.29 -0.099 14.65 14.03 15.27 1.24
10 16.005 14.89 17.12 2.2311 15.775 14.45 17.1 2.6512 14.385 12.44 16.33 3.8913 15.08 14.37 15.79 1.4214 15.04 14.85 15.23 0.3815 12.735 9.79 15.68 5.8916 12.225 9.88 14.57 4.69
xbarbar 15.45969 3.500625 rbar
A2 1.88
UCL 22.04086LCL 8.878513
14.32 20.1218.22 21.5414.78 23.3512.33 16.9912.81 18.2819.27 18.31
1 2 3 4 5 6 7 8 9 10 11 120
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Chart Title
Column R Column S Column T
Second
s
13.54 20.399.38 9.29
14.03 15.2714.89 17.1214.45 17.112.44 16.3314.37 15.7914.85 15.23
9.79 15.689.88 14.57
1 17.22 22.04086 8.8785132 19.88 22.04086 8.8785133 19.065 22.04086 8.8785134 14.66 22.04086 8.8785135 15.545 22.04086 8.8785136 18.79 22.04086 8.8785137 16.965 22.04086 8.8785138 9.335 22.04086 8.8785139 14.65 22.04086 8.878513
10 16.005 22.04086 8.87851311 15.775 22.04086 8.87851312 14.385 22.04086 8.878513
1 2 3 4 5 6 7 8 9 10 11 120
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Chart Title
Column R Column S Column T
440 880
8:00 AM 10:00 AM 12:00 PM 2:00 PM 8:00 AM 10:00 AM 12:00 PM14.32 18.22 14.78 12.33 20.12 21.54 23.3512.81 19.27 13.54 9.38 18.28 18.31 20.3914.03 14.89 14.45 12.44 15.27 17.12 17.114.37 14.85 9.79 9.88 15.79 15.23 15.6812.92 13.55 15.14 15.7 15.33 16.44 17.45
68.45 80.78 67.7 59.73 84.79 88.64 93.97
Grand total276.66 340.87
C3827.038 5809.618
SST116.0408 164.4411
SS(Tr)45.31698 45.30126
SSE70.72384 119.1398
Source of vDegrees ofSum of squMean squaF Source of vDegrees ofSum of squTime of da 3 45.31698 15.10566 3.417385 Time of da 3 45.30126Error 16 70.72384 4.42024 Error 16 119.1398Total 19 116.0408 Total 19 164.4411
alpha F0.05 3.240.01 5.29
2:00 PM16.99
9.2916.3314.5716.29
73.47 sum
Mean squaF15.10042 2.0279267.446237
14.32 20.1218.22 21.5414.78 23.3512.33 16.9912.81 18.2819.27 18.3113.54 20.39
9.38 9.2914.03 15.2714.89 17.1214.45 17.112.44 16.3314.37 15.7914.85 15.23
9.79 15.689.88 14.57
12.92 15.3313.55 16.4415.14 17.45
15.7 16.29
