Based on the samples that the scientists picked, and the weight of these samples, the various sample means are:
- 3.4 pounds
- 3.4 pounds
- 3.6 pounds
- 3.8 pounds
The range of the sample means is 0.4 pounds.
The true statements on the mean weights to be used by the scientists are:
- A single sample mean will tend to be a worse estimate than the mean of the sample means.
- The closer the range of the sample mean is to 0, the more confident they can be in their estimate.
What does the means show?
First, find the sample means of each sample.
Sample 1:
= (3 + 2 + 6 + 4 + 2) / 5
= 3.4 pounds
Sample 2:
= (2 + 2 + 3 + 7 + 3) / 5
= 3.4 pounds
Sample 3:
= (6 + 4 + 2 + 2 + 4) / 5
= 3.6 pounds
Sample 4:
= (5 + 3 + 2 + 5 + 4) / 5
= 3.8 pounds
The range is;
= 3.8 - 3.4
= 0.4
The closer the range of the mean is to 0, the better the sample because it shows that in general, the sample means are the same. This is good for the research because it points to the uniformity of fish weights.
Using all the sample means as an average captures the data better than if a single sample mean is used.
Find out more on sample means at https://brainly.com/question/14127076
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