Area.doc 1/28/05Use of Area ProgramsTo use any of these programs, open Minitab, click on anyplace in the ‘session’ part of the screen and, using the ‘Editor’ pulldown menu, click on ‘Enable Commands.’ Now find (using the ‘file’ pulldown menu and ‘Open Worksheet’) or prepare a worksheet and call the macro using a command beginning with ‘%.’ To arrange the graphs to print together, click on one of the graphs and then, using the ‘Editor’ pulldown menu, click on ‘Layout Tool.’ Use the arrows provided to remove the graph (click on it first) in the layout and then pick the number of rows and columns and use the arrows to put the graphs in the layout in the order they were made.An example of the use of NormArea5A follows. All my input was put in when the program asked for it.————— 1/28/2005 10:08:24 PM ———————————————————— Welcome to Minitab, press F1 for help.MTB > WOpen "C:\Documents and Settings\rbove\My Documents\Minitab\notmuch.MTW".Retrieving worksheet from file: 'C:\Documents and Settings\rbove\MyDocuments\Minitab\notmuch.MTW'Worksheet was saved on Fri Jan 21 2005Results for: notmuch.MTW (This worksheet is just a few numbers that are not used. Finding this sheet orients Minitab so that it knows that the data and macros are in a file that I created called Minitab’)MTB > %NormArea5AExecuting from file: NormArea5A.MACGraphic display of normal curve areasFinds and displays areas to the left or right of a given valueor between two values. (This macro uses C100-C116 and K100-K116)Enter the mean and standard deviation of the normal curve.DATA> 883DATA> 100Do you want the area to the left of a value? (Y or N)nDo you want the area to the right of a value? (Y or N)yEnter the value for which you want the area to the right.DATA> 700...working...Normal Curve Area 1Area.doc 1/28/05Data AxisDensity13001200110010009008007006005004000.0040.0030.0020.0010.000Normal Curve with Mean 883 and Standard Deviation 100The Area to the Right of 700 is 0.9664 Documentation for NormArea5cInput for NormArea5c – Material is in worksheet 252PrA1d-f, which generates the solution to ProblemA1, parts d-f.#C1 contains means, C2 contains standard deviations #C3 contains lower limits of intervals, C4 contains upper limits of intervals#C5 contains 0 if Area is between points in C3 and C4#C5 contains 1 if Area is to the left of point in c4#C6 contains 2 if Area is to the right of point in C3So the first row below asks for a Normal curve with mean 5 and Standard deviation 6. It wants the probability between 8 and 9.Row C1 C2 C3 C4 C5 1 5 6 8.00 9.00 2 2 0 1 0.50 9.00 2 3 5 6 2.00 9.00 2 4 0 1 -0.50 9.00 2 5 5 6 3.00 6.00 0 6 0 1 -0.33 0.17 0Computer Output for this Worksheet follows.————— 1/28/2005 10:44:37 PM ———————————————————— Welcome to Minitab, press F1 for help.MTB > WOpen "C:\Documents and Settings\rbove\My Documents\Minitab\252PrA1d-f.MTW".Retrieving worksheet from file: 'C:\Documents and Settings\rbove\MyDocuments\Minitab\252PrA1d-f.MTW'Worksheet was saved on Thu Jan 20 2005Results for: 252PrA1d-f.MTWMTB > %NormArea5CExecuting from file: NormArea5C.MAC2Area.doc 1/28/05Executing from file: NormArea5.MAC...working... Normal Curve Area ...working... Normal Curve Area ...working... Normal Curve Area ...working...Normal Curve Area ...working...Normal Curve Area ...working... Normal Curve Area Graphs Follow.Data AxisDensity200-200.0500.0250.000Data AxisDensity5.02.50.0-2.5-5.00.40.20.0Data AxisDensity200-200.0500.0250.000Data AxisDensity5.02.50.0-2.5-5.00.40.20.0Data AxisDensity200-200.0500.0250.000Data AxisDensity5.02.50.0-2.5-5.00.40.20.0Normal Curve with Mean 5 and Standard Deviation 6The Area to the Right of 8 is 0.3085Normal Curve with Mean 0 and Standard Deviation 1The Area to the Right of 0.5 is 0.3085Normal Curve with Mean 5 and Standard Deviation 6The Area to the Right of 2 is 0.6915Normal Curve with Mean 0 and Standard Deviation 1The Area to the Right of -0.5 is 0.6915Normal Curve with Mean 5 and Standard Deviation 6The Area Between 3 and 6 is 0.1967Normal Curve with Mean 0 and Standard Deviation 1The Area Between - 0.33 and 0.17 is 0.19683Area.doc 1/28/05Documentation for ChiAreaC and ChiAreaAInput for ChiAreaC – Material in worksheet ChiEx1#C1 contains degrees of freedom, C2 contains zero #C3 contains lower limits of intervals, C4 contains upper limits of intervals#C5 contains 0 if Area is between points in C3 and C4#C5 contains 1 if Area is to the left of point in c4#C6 contains 2 if Area is to the right of point in C3So the first row below asks for a ChiSquare curve with 4 degrees of freedom and the area between -4 and +4. The second line asks for the area to the left of 20.4832 when there are 10 DF. Row C1 C2 C3 C4 C5 1 4 0 -4.0000 4.0000 0 2 10 0 3.2470 20.4832 1 3 10 0 3.2470 20.4832 2 4 10 0 3.2470 20.4832 0 5 50 0 27.9907 79.4896 0Graphs Follow.Data AxisDensity241812600.20.10.0Data AxisDensity4030201000.100.050.00Data AxisDensity4030201000.100.050.00Data AxisDensity4030201000.100.050.00Data AxisDensity100806040200.040.020.00ChiSquared Curve with 4 Degrees of Freedom and Standard Deviation 2.82843The Area Between -4 and 4 is 0.5940ChiSquare Curve with 10 Degrees of Freedom and Standard Deviation 4.47214The Area to the Left of 20.4832 is 0.9750ChiSquare Curve with 10 Degrees of Freedom and Standard Deviation 4.47214The Area to the Right of 3.247 is 0.9750ChiSquared Curve with 10 Degrees of Freedom and Standard Deviation 4.47214The Area Between 3.247 and 20.4832 is 0.9500ChiSquared Curve with 50 Degrees of Freedom and Standard Deviation 10The Area Between 27.9907 and 79.4896 is 0.9900Computer Output for this Worksheet follows.————— 1/28/2005 7:22:02 PM ———————————————————— Welcome to Minitab, press F1 for help.Results for: ChiEx1.MTWMTB > Save "C:\Documents and Settings\rbove\My Documents\Minitab\ChiEx1.MTW";SUBC> Replace.4Area.doc 1/28/05Saving file as: 'C:\Documents and Settings\rbove\MyDocuments\Minitab\ChiEx1.MTW'Existing file replaced.MTB > %ChiAreacExecuting from file: ChiAreac.MACExecuting from file: ChiArea.MAC...working... Chi Squared Curve Area Data Display mode 2.00000median 3.33333...working... Chi Squared Curve Area Data Display mode
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