Four scientists want to estimate the mean weight of fish in the same lake.
To do this, each scientist randomly chose 5 fish from the lake and recorded their weights. The samples are shown in the table.
(a) Fill in the sample means in the table.
Do not round your answers
Sample Weight (in pounds) Sample mean
1
6,3,3,5,6
0
2
4,5,6, 5,3
3
عيا
4,4,7,3,6
4
6,6,6,3,5
0
(b) Use the table to calculate the range of the sample means
Range of sample means: D
(c) The scientists are going to use the sample means to estimate the mean weight of the fish in the lake.
Select all the true statements below.
A single sample mean will tend to be a worse estimate than the mean of the sample means
The mean of the sample means will tend to be a worse estimate than a single sample mean.
The closer the range of the sample means is to 0, the less confident they can be in their estimate.
The farther the range of the sample means is from 0, the less confident they can be in their estimate.