In a vacancy for a position of botanist in an organization, the criteria of selection were work

Question

experience, entrance exam, and, interview result. The relative importance of these criteria was
regarded to be different. The weights of these criteria and the scores obtained by 3 candidates (out
of 100 in each criterion) are given in the following table. In addition, the selection of a candidate is
based on average result on these criteria.
Criterion Weight Candidates
Dechasa Gutema Engdawork
Work experience 4 70 89 85
Entrance exam 3 78 83 89
Interview result 2 90 92 90
Who is the appropriate candidate for the position based on the criteria?�

Answer 1

To determine the appropriate candidate for the position of botanist based on the given criteria, we need to calculate a weighted score for each candidate. The weighted score is calculated using the formula:

\[ \text{Weighted Score} = \left( \frac{\text{Score}_1 \times \text{Weight}_1 + \text{Score}_2 \times \text{Weight}_2 + \text{Score}_3 \times \text{Weight}_3}{\text{Total Weight}} \right) \]

Where:

• \(\text{Score}_1\) is the score for Work experience,
• \(\text{Score}_2\) is the score for Entrance exam,
• \(\text{Score}_3\) is the score for Interview result,
• \(\text{Weight}_1\) is the weight for Work experience,
• \(\text{Weight}_2\) is the weight for Entrance exam,
• \(\text{Weight}_3\) is the weight for Interview result,
• \(\text{Total Weight} = \text{Weight}_1 + \text{Weight}_2 + \text{Weight}_3\).

Here are the weights and scores:

• Work experience: weight 4
• Entrance exam: weight 3
• Interview result: weight 2
• Total weight = 4 + 3 + 2 = 9

Let's calculate the weighted scores for each candidate.

Candidate 1: Dechasa Gutema

\[ \text{Weighted Score} = \frac{(70 \times 4) + (78 \times 3) + (90 \times 2)}{9} \] \[ = \frac{280 + 234 + 180}{9} = \frac{694}{9} \approx 77.11 \]

Candidate 2: Gutema

\[ \text{Weighted Score} = \frac{(89 \times 4) + (83 \times 3) + (92 \times 2)}{9} \] \[ = \frac{356 + 249 + 184}{9} = \frac{789}{9} \approx 87.67 \]

Candidate 3: Engdawork

\[ \text{Weighted Score} = \frac{(85 \times 4) + (89 \times 3) + (90 \times 2)}{9} \] \[ = \frac{340 + 267 + 180}{9} = \frac{787}{9} \approx 87.44 \]

Summary of the Results:

• Dechasa Gutema: 77.11
• Gutema: 87.67
• Engdawork: 87.44

Based on the calculations, the candidate with the highest weighted score is Gutema with a score of approximately 87.67. Therefore, Gutema is the appropriate candidate for the position of botanist based on the given criteria.