To predict the number of employees in the entire company who would select each of the satisfaction ratings, we can use the proportions from the survey results and apply them to the total number of employees in the company.
The total number of survey responses is:
- Very Satisfied: 7
- Satisfied: 11
- Neutral: 5
- Dissatisfied: 2
Total responses = 7 + 11 + 5 + 2 = 25
Now, we can calculate the proportions of each satisfaction rating:
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Very Satisfied: \[ \text{Proportion} = \frac{7}{25} = 0.28 \]
-
Satisfied: \[ \text{Proportion} = \frac{11}{25} = 0.44 \]
-
Neutral: \[ \text{Proportion} = \frac{5}{25} = 0.20 \]
-
Dissatisfied: \[ \text{Proportion} = \frac{2}{25} = 0.08 \]
Next, we apply these proportions to the total number of employees (135) in the company:
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Very Satisfied: \[ \text{Predicted} = 0.28 \times 135 \approx 37.8 \quad \text{(rounded to 38)} \]
-
Satisfied: \[ \text{Predicted} = 0.44 \times 135 \approx 59.4 \quad \text{(rounded to 59)} \]
-
Neutral: \[ \text{Predicted} = 0.20 \times 135 \approx 27.0 \quad \text{(rounded to 27)} \]
-
Dissatisfied: \[ \text{Predicted} = 0.08 \times 135 \approx 10.8 \quad \text{(rounded to 11)} \]
Now, summarizing the results:
- Very Satisfied: 38
- Satisfied: 59
- Neutral: 27
- Dissatisfied: 11
This is the number of employees in the entire company who would select each of the satisfaction ratings.