Paper aircraft flight distances analysis
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Population mean5600800 Flight distance0900 Flight distanceBoth sxnsDistanceDistribution of all sample means around pop meanDistribution re-centered on sample mean
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sample size n36n17193600.0000027310.00000124
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sample mean x̅554sample mean x̅592521554200.0000044210.00000206
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standard deviation sx485sample standard deviation sx623330485400.0000070340.00000337
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Flight distancepoint estimate for the population mean µ592521554600.0000109970.00000542
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Monday 8:00-50standard error of the mean SE1517681800.0000168940.00000855
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Average @ 8-30t-critical for 95%2.1202.1012.0301000.0000255030.00001327
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59290lower bound for the population mean2713613901200.0000378300.00002023
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100upper bound for the population mean9126807181400.0000551420.00003031
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1401600.0000789810.00004462
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210There is a 95% probability that the population is between:p(271 ≤ μ ≤ 912)=0.95p(361 ≤ μ ≤ 680)=0.95p(390 ≤ μ ≤ 718)=0.951800.0001111640.00006455
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350Actual population mean preflight:5605605602000.0001537440.00009176
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400Does the confidence interval include the population mean µ?yesyesyes2200.0002089430.00012818
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5102400.0002790320.00017594
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640|t-statistic|0.0772600.0003661640.00023730
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660Is |t-statistic| > t-critical?No2800.0004721650.00031451
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700Reject or fail to reject?Fail to reject3000.0005982840.00040961
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735Sample mean significantly different from μ?No3200.0007449330.00052420
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765Could the μ for this sample be 560?Yes3400.0009114290.00065921
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8503600.0010957820.00081460
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1550p-value0.93883800.0012945570.00098915
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24404000.0015028460.00118025
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4200.0017143650.00138382
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0800 Flight distance0900 Flight distanceBoth sxns4400.0019217120.00159435
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Monday 9:00-80Sample lower bound for the pop mean2713613904600.0021167470.00180503
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Average @ 966Pop mean5605605604800.0022911080.00200808
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521140Pop mean5605605605000.0024367900.00219519
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210Sample upper bound for the pop mean9126807185200.0025467510.00235808
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2405400.0026154760.00248910
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2605600.0026394340.00258180
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410
Chapter 11.2 Independent samples analysis: Did the sections produce different sample means?
5800.0026173800.00263146
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4360800 Flight distance0900 Flight distance6000.0025504610.00263553
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500Sample lower bound for the pop mean2713616200.0024421170.00259379
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518Sample mean5925216400.0022977890.00250840
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530Sample mean5925216600.0021244650.00238372
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540Sample upper bound for the pop mean9126806800.0019301230.00222592
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7057000.0017231230.00204249
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750T-TEST for a difference of sample means: p-value0.67727876817200.0015116230.00184165
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7607400.0013030660.00163173
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9307600.0011037870.00142065
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9507800.0009187560.00121540
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9558000.0007514680.00102176
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10708200.0006039730.00084407
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8400.0004770010.00068517
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8600.0003701840.00054653
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8800.0002823010.00042838
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9000.0002115450.00032994
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9200.0001557720.00024971
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9400.0001127120.00018571
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9600.0000801400.00013572
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9800.0000559910.00009746
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10000.0000384410.00006877
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10200.0000259330.00004769
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10400.0000171920.00003249
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10600.0000111990.00002176
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10800.0000071680.00001431
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11000.0000045090.00000925
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11200.0000027870.00000588
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11400.0000016930.00000367
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11600.0000010100.00000225
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11800.0000005920.00000136
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12000.0000003410.00000080
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12200.0000001930.00000047
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12400.0000001080.00000027
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12600.0000000590.00000015
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12800.0000000320.00000008
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13000.0000000170.00000005
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13200.0000000090.00000002
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13400.0000000040.00000001
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13600.0000000020.00000001
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13800.0000000010.00000000
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14000.0000000010.00000000
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14200.0000000000.00000000
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14400.0000000000.00000000
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14600.0000000000.00000000
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14800.0000000000.00000000
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15000.0000000000.00000000
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15200.0000000000.00000000
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15400.0000000000.00000000
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15600.0000000000.00000000
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15800.0000000000.00000000
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16000.0000000000.00000000
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