The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.
<h3>(a)</h3>
The sample means are calculated in the attachment. For the different samples, they are ...
48
52
54
<h3>(b)</h3>
The range of the sample means is the difference between the largest and the smallest:
range = 54 -48 = 6
<h3>(c)</h3>
More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...
A single sample mean will tend to be a worse estimate than the mean of the sample means.
The closer the range of sample means is to zero, the more confident they can be in their estimate.