Question

You have taken 6 samples of 10 units each from a population of 452 students and calculated the mean of each sample. The means of the samples are: 3.4, 3.2, 2.4, 2.8, 3.6, 3.0. What is the estimated mean of the population of students?(1 point) The estimated population mean is

Answer 1

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**.