To estimate the population mean based on the sample means, you can calculate the average of the sample means.
Here are the sample means provided:
- 3.4
- 3.2
- 2.4
- 2.8
- 3.6
- 3.0
Now, calculate the average of these sample means:
\[ \text{Estimated Population Mean} = \frac{\text{Sum of Sample Means}}{\text{Number of Samples}} \]
Calculating the sum:
\[ 3.4 + 3.2 + 2.4 + 2.8 + 3.6 + 3.0 = 18.4 \]
Now divide by the number of samples (which is 6):
\[ \text{Estimated Population Mean} = \frac{18.4}{6} \approx 3.0667 \]
Thus, the estimated mean of the population of students is approximately 3.07.