looking at the means of these samples, which value is most likely to be the mean of the population from…

Explanation:

Step1: Recall the concept of sample - mean as an estimator

The sample means are estimates of the population mean. The population mean is likely to be close to the values of the sample means.

Step2: Analyze the given sample means

The sample means are 11.8, 12.5, 15.1, 14.3, 13.0, 12.9. We need to find the option that is closest to these values.

Step3: Calculate the differences

For option 10.2: |11.8 - 10.2| = 1.6, |12.5 - 10.2| = 2.3, |15.1 - 10.2| = 4.9, |14.3 - 10.2| = 4.1, |13.0 - 10.2| = 2.8, |12.9 - 10.2| = 2.7 For option 11.5: |11.8 - 11.5| = 0.3, |12.5 - 11.5| = 1, |15.1 - 11.5| = 3.6, |14.3 - 11.5| = 2.8, |13.0 - 11.5| = 1.5, |12.9 - 11.5| = 1.4 For option 12.9: |11.8 - 12.9| = 1.1, |12.5 - 12.9| = 0.4, |15.1 - 12.9| = 2.2, |14.3 - 12.9| = 1.4, |13.0 - 12.9| = 0.1, |12.9 - 12.9| = 0 For option 15.4: |11.8 - 15.4| = 3.6, |12.5 - 15.4| = 2.9, |15.1 - 15.4| = 0.3, |14.3 - 15.4| = 1.1, |13.0 - 15.4| = 2.4, |12.9 - 15.4| = 2.5

The option 12.9 has the smallest overall differences from the sample - means.

Answer:

12.9