Question

sample sample mean 1 16.8 2 12.3 3 19.0 4 17.5 5 18.2 6 17.5 looking at this table of sample means, which value is the best estimate of the mean of the population? 11.0 12.3 17.3 20.9

Explanation:

Step1: Recall the concept of population - mean estimation

The best estimate of the population mean from sample means is the mean of the sample means. First, sum up all the sample means.
Sum = \(16.8 + 12.3+19.0 + 17.5+18.2+17.5\)
Sum = \(101.3\)

Step2: Calculate the number of samples

There are \(n = 6\) samples.

Step3: Calculate the mean of the sample means

Mean of sample means=\(\frac{101.3}{6}\approx16.9\). Among the given options, the value closest to the mean of the sample - means calculated is \(17.3\).

Answer:

17.3