Chapter 20 The IRS is actively encouraging individuals to file their taxes electronically in order to increase accuracy and reduce expenses. The following data show the percentage of tax returns filed electronically from 2003 to 2012. Show your work. No excel. Year Percentage Year Percentage 2003 20 2008 38 2004 26 2009 47 2005 31 2010 50 2006 34 2011 57 2007 37 2012 58 Forecast the percentage of tax returns that will be electronically filed for 2013 using exponential smoothing with α = 0.7 Calculate the MAD for the forecast in part a Forecast the percentage of tax returns that will be electronically filed for 2013 using exponential smoothing with trend adjustment and setting α = 0.4 and β = 0.6 Calculate the MAD for the forecast in part c
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7, we can use the following formula: Ft+1 = α * At + (1-α) * Ft where Ft+1 is the forecast for 2013, At is the actual percentage of tax returns filed electronically in 2012, and Ft is the forecast for 2012. Using the data given, we have: At = 58 Ft = 0.7 * 58 + Show more…
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The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a set of 25 questions of a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average proportion of correct responses has been 71 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions were again asked of 20 randomly selected IRS telephone representatives. The proportions of correct answers were: 21, 15, 19, 20, 18, 16, 21, 10, 17, 10, 22, 16, 24, 16, 16, 17, 23, 20, 21, and 16. a. What are the upper and lower control limits for the appropriate p-chart for the IRS? Use z = 3
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The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a set of 25 questions to a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average proportion of correct responses has been 74 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions was again asked to 20 randomly selected IRS telephone representatives. The proportions of correct answers were: 20, 16, 19, 21, 19, 21, 21, 16, 17, 16, 22, 16, 23, 17, 21, 14, 23, 21, 21, and 16. a. What are the upper and lower control limits for the appropriate p-chart for the IRS? Use z = 3. The UCLp = ____ and the LCLp = ____ (Enter your responses rounded to four decimal places. If your answer for LCLp is negative, enter this value as 0.)
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