Question

the table shows the mean number of basketball goals made by four random samples of players from the school team during this years season.

sample #	sample mean number of goals
2	4
3	5
4	8

is a valid prediction for the mean of the population possible using these samples?
no, there are not enough samples.
yes, the sample means are all less than 10.
yes, the variation of the sample means is small.
no, the variation of the sample means is too great.

Explanation:

Step1: Calculate the range of sample means

The sample means are 7, 4, 5, 8. The range is \(8 - 4=4\). A large variation in sample - means can lead to unreliable population - mean predictions.

Answer:

D. No, the variation of the sample means is too great.