A manager wants to determine an appropriate learning percentage for processing insurance claims for storm damage. Toward that end, times have been recorded for completion of each of the first six repetitions.   Repetition 1 2 3 4 5 6 Time (minutes) 50 46 43 38 37 34     Use the following table for calculation. Learning curve coefficients     70% 75% 80% 85% 90% Unit Number Unit Time Total Time Unit Time Total Time Unit Time Total Time Unit Time Total Time Unit Time Total Time 1 1.000   1.000   1.000   1.000   0.000   1.000   1.000   1.000   1.000   1.000   2 0.700   1.700   0.750   1.750   0.800   1.800   0.850   1.850   0.900   1.900   3 0.568   2.268   0.634   2.384   0.702   2.502   0.773   2.623   0.846   2.746   4 0.490   2.758   0.562   2.946   0.640   3.142   0.723   3.345   0.810   3.556   5 0.437   3.195   0.513   3.459   0.596   3.738   0.686   4.031   0.783   4.339   6 0.398   3.593   0.475   3.934   0.562   4.299   0.657   4.688   0.762   5.101   7 0.367   3.960   0.446   4.380   0.534   4.834   0.634   5.322   0.744   5.845   8 0.343   4.303   0.422   4.802   0.512   5.346   0.614   5.936   0.729   6.574   9 0.323   4.626   0.402   5.204   0.493   5.839   0.597   6.533   0.716   7.290   10 0.306   4.932   0.385   5.589   0.477   6.315   0.583   7.116   0.705   7.994   11 0.291   5.223   0.370   5.958   0.462   6.777   0.570   7.686   0.695   8.689   12 0.278   5.501   0.357   6.315   0.449   7.227   0.558   8.244   0.685   9.374   13 0.267   5.769   0.345   6.660   0.438   7.665   0.548   8.792   0.677   10.052   14 0.257   6.026   0.334   6.994   0.428   8.092   0.539   9.331   0.670   10.721   15 0.248   6.274   0.325   7.319   0.418   8.511   0.530   9.861   0.663   11.384   16 0.240   6.514   0.316   7.635   0.410   8.920   0.522   10.383   0.656   12.040   17 0.233   6.747   0.309   7.944   0.402   9.322   0.515   10.898   0.650   12.690   18 0.226   6.973   0.301   8.245   0.394   9.716   0.508   11.405   0.644   13.334   19 0.220   7.192   0.295   8.540   0.388   10.104   0.501   11.907   0.639   13.974   20 0.214   7.407   0.288   8.828   0.381   10.485   0.495   12.402   0.634   14.608   21 0.209   7.615   0.283   9.111   0.375   10.860   0.490   12.892   0.630   15.237   22 0.204   7.819   0.277   9.388   0.370   11.230   0.484   13.376   0.625   15.862   23 0.199   8.018   0.272   9.660   0.364   11.594   0.479   13.856   0.621   16.483   24 0.195   8.213   0.267   9.928   0.359   11.954   0.475   14.331   0.617   17.100   25 0.191   8.404   0.263   10.191   0.355   12.309   0.470   14.801   0.613   17.713   26 0.187   8.591   0.259   10.449   0.350   12.659   0.466   15.267   0.609   18.323   27 0.183   8.774   0.255   10.704   0.346   13.005   0.462   15.728   0.606   18.929   28 0.180   8.954   0.251   10.955   0.342   13.347   0.458   16.186   0.603   19.531   29 0.177   9.131   0.247   11.202   0.338   13.685   0.454   16.640   0.599   20.131   30 0.174   9.305   0.244   11.446   0.335   14.020   0.450   17.091   0.596   20.727     a. Determine the approximate learning percentage. Hint: Compute this by averaging the various learning rate estimates available using the 'doubling' concept for all possible unit time ratios (e.g., T2/T1, T4/T2, etc.) (Do not round intermediate calculations. Round your answer to the nearest 5 percent.)         b. Using your rounded answer from part a, estimate the average completion time per repetition, assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.)

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A manager wants to determine an appropriate learning percentage for processing insurance claims for storm damage. Toward that end, times have been recorded for completion of each of the first six repetitions.
 

Repetition 1 2 3 4 5 6
Time (minutes) 50 46 43 38 37 34
 

 
Use the following table for calculation.

Learning curve coefficients
 

  70% 75% 80% 85% 90%
Unit
Number
Unit
Time
Total
Time
Unit
Time
Total
Time
Unit
Time
Total
Time
Unit
Time
Total
Time
Unit
Time
Total
Time
1 1.000   1.000   1.000   1.000   0.000   1.000   1.000   1.000   1.000   1.000  
2 0.700   1.700   0.750   1.750   0.800   1.800   0.850   1.850   0.900   1.900  
3 0.568   2.268   0.634   2.384   0.702   2.502   0.773   2.623   0.846   2.746  
4 0.490   2.758   0.562   2.946   0.640   3.142   0.723   3.345   0.810   3.556  
5 0.437   3.195   0.513   3.459   0.596   3.738   0.686   4.031   0.783   4.339  
6 0.398   3.593   0.475   3.934   0.562   4.299   0.657   4.688   0.762   5.101  
7 0.367   3.960   0.446   4.380   0.534   4.834   0.634   5.322   0.744   5.845  
8 0.343   4.303   0.422   4.802   0.512   5.346   0.614   5.936   0.729   6.574  
9 0.323   4.626   0.402   5.204   0.493   5.839   0.597   6.533   0.716   7.290  
10 0.306   4.932   0.385   5.589   0.477   6.315   0.583   7.116   0.705   7.994  
11 0.291   5.223   0.370   5.958   0.462   6.777   0.570   7.686   0.695   8.689  
12 0.278   5.501   0.357   6.315   0.449   7.227   0.558   8.244   0.685   9.374  
13 0.267   5.769   0.345   6.660   0.438   7.665   0.548   8.792   0.677   10.052  
14 0.257   6.026   0.334   6.994   0.428   8.092   0.539   9.331   0.670   10.721  
15 0.248   6.274   0.325   7.319   0.418   8.511   0.530   9.861   0.663   11.384  
16 0.240   6.514   0.316   7.635   0.410   8.920   0.522   10.383   0.656   12.040  
17 0.233   6.747   0.309   7.944   0.402   9.322   0.515   10.898   0.650   12.690  
18 0.226   6.973   0.301   8.245   0.394   9.716   0.508   11.405   0.644   13.334  
19 0.220   7.192   0.295   8.540   0.388   10.104   0.501   11.907   0.639   13.974  
20 0.214   7.407   0.288   8.828   0.381   10.485   0.495   12.402   0.634   14.608  
21 0.209   7.615   0.283   9.111   0.375   10.860   0.490   12.892   0.630   15.237  
22 0.204   7.819   0.277   9.388   0.370   11.230   0.484   13.376   0.625   15.862  
23 0.199   8.018   0.272   9.660   0.364   11.594   0.479   13.856   0.621   16.483  
24 0.195   8.213   0.267   9.928   0.359   11.954   0.475   14.331   0.617   17.100  
25 0.191   8.404   0.263   10.191   0.355   12.309   0.470   14.801   0.613   17.713  
26 0.187   8.591   0.259   10.449   0.350   12.659   0.466   15.267   0.609   18.323  
27 0.183   8.774   0.255   10.704   0.346   13.005   0.462   15.728   0.606   18.929  
28 0.180   8.954   0.251   10.955   0.342   13.347   0.458   16.186   0.603   19.531  
29 0.177   9.131   0.247   11.202   0.338   13.685   0.454   16.640   0.599   20.131  
30 0.174   9.305   0.244   11.446   0.335   14.020   0.450   17.091   0.596   20.727  
 


a. Determine the approximate learning percentage. Hint: Compute this by averaging the various learning rate estimates available using the 'doubling' concept for all possible unit time ratios (e.g., T2/T1, T4/T2, etc.) (Do not round intermediate calculations. Round your answer to the nearest 5 percent.)
 
 

 


 
b. 
Using your rounded answer from part a, estimate the average completion time per repetition, assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.)
 
 

 
 
 
 
 
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