To estimate the population mean using the given sample means, you should calculate the average of the provided sample means. The sample means provided are:
2.4, 3.2, 2.8, 2.9, 3.4, 3.1, 3.0, 3.5, 2.7, 2.9, 3.5
First, add all the sample means together:
\[ 2.4 + 3.2 + 2.8 + 2.9 + 3.4 + 3.1 + 3.0 + 3.5 + 2.7 + 2.9 + 3.5 = 34.4 \]
Next, divide the total by the number of samples (which is 11):
\[ \text{Mean} = \frac{34.4}{11} \approx 3.1273 \]
Now, rounding this result gives you approximately 3.1.
From the options you provided:
- 3.3
- 2.7
- 3.0
- 3.1
The estimate that most closely matches the calculated mean is 3.1.