Which of the following correctly estimates the population mean using the following random sample means?

Question

2.4, 3.2, 2.8, 2.9, 3.4, 3.1, 3.0, 3.5, 2.7, 2.9, 3.5

(1 point)
Responses

3.3
3.3

3.0
3.0

3.1
3.1

2.7

Answer 1

To estimate the population mean using the provided random sample means, you can calculate the mean of the sample means.

Given the sample means: 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 values 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

Now, count the number of samples (which is 11 in this case) and divide the total by the number of samples to find the mean:

Mean = Total / Number of samples = 34.4 / 11 ≈ 3.1364

Rounding this to one decimal place gives approximately 3.1.

Thus, the correct estimate of the population mean from the provided options is:

3.1