This assignment does not require anything in the way of sophisticated statistical analysis, so keep things simple here!

Published: 2019-05-15 11:05:53
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Answer

1. Count the number in the input data errors committed in the week both groups.

With Training Week 1 Week 2 Week 3 Week 4 Week 5

1 3 3 2 2 2

2 4 4 4 3 3

3 4 5 4 3 2

4 5 4 3 2 1

5 6 6 5 4 2

the number of errors3+4+4+5+6=22 3+4+5+4+6=22 2+4+4+3+5=18 2+3+3+2+4=14 2+3+2+1+2=10

Without TrainingWeek 1 Week 2 Week 3 Week 4 Week 5

1 7 7 7 6 5

2 8 7 7 6 6

3 6 5 5 4 2

4 7 7 7 4 4

5 8 7 6 5 4

the number of errors7+8+6+7+8=36 7+7+5+7+7=33 7+7+5+7+6=32 6+6+4+4+5=25 5+6+2+4+4=21

A comparison is made between groups of the total number of errors for each week.

We see that people who have been trained make fewer mistakes. Also observe a tendency to reduce the number of errors each week.

2. Calculates how much we have to pay for the mistakes in every week every member of two groups.

Cost = Number of errors * $ 2.5

For the first group, the item which we calculate the total cost for a week

Cost = errors cost + cost of training a week($49)

With Training3*$2.5=7.5

Member Week 1 Week 2 Week 3 Week 4 Week 5 1 7,5 7,5 5 5 5 2 10 10 10 7,5 7,5 3 10 12,5 10 7,5 5 4 12,5 10 7,5 5 2,5 5 15 15 12,5 10 5

total pay for mistakes55 55 45 35 25 215

Total pay55+49=104 55+49=104 45+49=94 35+49=84 25+49=74 460

Without TrainingMember Week 1 Week 2 Week 3 Week 4 6*$2.5=15

Week 5 1 17,5 17,5 17,5 15 12,5 2 20 17,5 17,5 15 15 3 15 12,5 12,5 10 5 4 17,5 17,5 17,5 10 10 5 20 17,5 15 12,5 10 total paytotal pay for mistakes90 82,5 80 62,5 52,5 367,5

Compare the cost for each group for each week. We can see that because of the expensive training, we will pay for the first group every week more than the second group.

3. Calculates the indexes BCR and ROI for every week.

(52.5-25)/49=0.561

Program benefits=Error cost without training-Error cost with training

Week 1 Week 2 Week 3 Week 4 Week 5

BCR 0,714 0,561 0,714 0,561 0,561

ROI -28,6% -43,9% -28,6% -43,9% (52.5-25-49)/49*100%= -43.9%

-43,9%

To visualize calculations on the chart.

When BCR is less than one, then the cost exceeds the benefits and indicates that improvements or changes probably need to be made to justify the continuation of the program. Our BCR each less than one week. That is, we need to justify the continuation of the program, as it gives us the losses due to its cost, although brings results in reducing human error.

A result less than 100 percent means the program has a net cost. This means that the program did not recoup its cost after accounting for the benefit. When this happens, there may be a hidden or social benefit that is not quantifiable, such as an increase in employee morale. In these cases, stakeholders and decision makers must ascertain whether the scale of loss is justifiable given the money spent. Used properly ROI it can be an objective method for comparing the benefits, costs, and returns for two or more programs.

As we can see, in this case, the ROI has a negative value each week. Observe excessive funding that in the short term is unprofitable character. It is possible that in the long term training will benefit, as the number of errors decreased as a result of training.

sheldon

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