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10632488.xlsHistorical StockDateOpenHighLowCloseAdj CloseVolum.docx
- 36. 113.73000353034004/20/17114.169998115.050003113.8700031 14.790001114.79000152793004/21/17114.379997115.12000311 4.269997114.440002114.44000266545004/24/17115.260002115. 379997113.660004113.699997113.69999772946004/25/17113.7 30003115.519997113.68115.18115.1869183004/26/17115.40000 2115.959999114.860001115.580002115.58000248098004/27/17 115.800003116.099998115.389999115.839996115.83999639108 004/28/17115.870003115.900002115.239998115.599998115.599 99839876005/1/17115.589996115.610001114.720001114.73000 3114.73000349633005/2/17114.870003114.989998113.68114.37 0003114.37000366046005/3/17114.029999114.089996111.1811 1.620003111.620003115212005/4/17110.580002111.300003109. 059998111.169998111.169998106912005/5/17111.489998112.1 50002110.919998111.989998111.98999858714005/8/17112.389 999112.389999111111.419998111.41999859801005/9/17111.55 0003112.150002110.349998112.07112.0793374005/10/1710910 9.660004108.129997109.660004109.660004170611005/11/1710 9.739998110.010002108.5109.580002109.58000280213005/12/1 7109.800003109.889999109.269997109.690002109.6900025067 7005/15/17109.730003110.080002109.120003109.129997109.12 999762413005/16/17109.129997109.230003107.82107.9800031 07.980003100471005/17/17107.980003107.980003105.2300031 06.309998106.309998127632005/18/17105.980003107.3099981 05.980003106.68106.6865322005/19/17106.760002107.8600011 06.699997107.519997107.5199975962200 Mean, Sigma KnownInput Variables:Sample Mean (x- bar)7754852.50596659<—Input the appropriate number for your situation.Population Standard Deviation (sigma):4133338.83032273<— Input the appropriate number for your situation.Sample Size (n):1257<— Input the appropriate number for your situation.Confidence Level:0.95<— Input the appropriate number for your situation.Intermediate Calculations:Standard Error of the Estimate:116582.501358967Prob. in One Tail for This Conf Level:0.025Prob. To Use in NORMSINV:0.975Z- Multiple:1.960Confidence Interval:Lower Limit:7526355.00We
- 37. can be 95% confident that the population meanUpper Limit:7983350.01lies between 7526355 and 7983350.01Margin of Error:228497.50957526355.007983350.01 Confidence Interval Calculator Confidence interval for a population mean, Sigma known If the population standard deviation is known, we can directly calculate the standard deviation of the sampling distribution (the standard error of the estimate) and use the standardized normal distribution to get a Z-multiple, using the Excel function NORMSINV. The margin of error is the Z-multiple times the standard error, and it is how far the confidence interval extends on each side of the point estimate. Population MeanPopulation MeanInputs --Planning Value for Sigma:21.6088202973<-- Input the appropriate number for your situationDesired margin of error:0.5<-- Input the appropriate number for your situationConfidence Level:0.95<-- Input the appropriate number for your situationIntermediate Calculations --z-multiple:1.9600Sigma squared:466.9411146409M.E. squared:0.25z-multiple squared:3.8415Results --Sample Size needed:7174.9402543289(rounded up to a whole number) When taking a sample to estimate a population mean, the inputs to determine the required sample size include a planning estimate for the population standard deviation (sigma), the required margin of error (expressed in whatever units sigma is expressed in), and the required confidence level. 10632488.docxPractical Application Scenario 1 Input Variables: Sample Mean (x-bar)
- 38. 7754852.506 Population Standard Deviation (sigma): 4133338.83 Sample Size (n): 1257 Confidence Level: 0.95 Intermediate Calculations: Standard Error of the Estimate: 116582.5014 Prob. in One Tail for This Conf Level: 0.025 Prob. To Use in NORMSINV: 0.975 Z-Multiple: 1.960 Confidence Interval: Lower Limit: 7526355.00 Upper Limit: 7983350.01 Margin of Error: 228497.50 The 95 percent confidence interval for the average daily stock volume is (7526355, 7983350.01). I am 95% confident that the estimated population average daily stock volume is within the calculated interval. This confidence interval gives a range in which unknown
- 39. population average daily stock volume is expected to lie at a predetermined level of significance. It is more reliable as compared to single point estimate as here I am 95% confident. Practical Application Scenario 2 Inputs -- Planning Value for Sigma: 21.60882 Desired margin of error: 0.5 Confidence Level: 0.95 Intermediate Calculations -- z-multiple: 1.9600 Sigma squared: 466.9411 M.E. squared: 0.25 z-multiple squared: 3.8415 Results -- Sample Size needed: 7175 The estimated sample size is 7175 days. It means that a sample
- 40. of 7175 days is needed to construct a 95 percent confidence interval for the average adjusted daily closing price, with a margin of error 50 cents (0.5 dollars). L.csvDateOpenHighLowCloseAdj CloseVolume6/19/201748.18999948.3247.86999947.99000247.9 900027146006/20/201747.86000147.86000147.3447.50999847.5 099987636006/21/201747.63000147.63000146.70000146.8246.8 28973006/22/201746.68999946.79999946.38000146.40000246.4 000027315006/23/201746.4346.72000146.16999846.27999946.2 7999911082006/26/201746.41999846.7346.2546.61000146.6100 017799006/27/201746.70999946.86999946.5746.61999946.6199 998480006/28/201746.91999847.2346.91999846.97000146.9700 019243006/29/201747.4847.49000246.7346.83000246.83000210 296006/30/201747.08000247.11999946.47000146.81000146.810 00110266007/3/201747.11999948.00999847.11999947.4000024 7.4000028655007/5/201747.41999847.49000246.9147.00999847 .0099989600007/6/201747.00999847.20000146.72000146.77999 946.7799998861007/7/201746.97000147.31000146.75999847.20 999947.2099997819007/10/201747.0247.36999946.93999947.15 000247.1500026359007/11/201747.24000247.24000246.6846.90 000246.9000026152007/12/201746.8300024746.70000146.7900 0146.7900015514007/13/201746.68999946.97000146.66999846. 9346.935071007/14/201746.79999947.2546.61000146.95000146 .950001392400 Loews.xltm LoewsDateOpenHighLowCloseAdj CloseVolumeBinsFrequencyIntervals7/16/1240.72000140.79999 940.45000139.49196640.019320007/17/1240.86000140.9199984 0.31000139.5210840.7200019179007/18/1240.5741.1840.5239. 81224441.0216859001409- 147/19/1241.2741.4840.88999939.78313440.9900021590500190 15-