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Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below.

Sample
Mean
Sample 1
12
Sample 2
16
Sample 3
13

Looking at the table of sample means, which value is the best estimate of the mean of the population?
10
12
14
16

1 answer

To find the best estimate of the mean of the population based on the sample means, we can calculate the average of the sample means provided. The sample means are:

  • Sample 1: 12
  • Sample 2: 16
  • Sample 3: 13

Calculating the mean of the sample means:

\[ \text{Mean of samples} = \frac{\text{Sample 1} + \text{Sample 2} + \text{Sample 3}}{3} = \frac{12 + 16 + 13}{3} = \frac{41}{3} \approx 13.67 \]

Among the choices provided (10, 12, 14, 16), the value closest to this average is 14.

Thus, the best estimate of the mean of the population based on the sample means is 14.