Question

in a wildlife preserve, a random sample Of the population of 150 raccoons was caught and weighed. The results, Given in pounds, were 17 19 20 21 23 27 28 28 28 and 32. Jean made the inference the average weight of the raccoon population is 25 pounds is the statement reasonable?

Answer 1

No

Explanation:

Here we have the weights as follows

17, 19, 20, 21, 23, 27, 28, 28, 28, 32

Sum = 243 pounds

Sample size = 10

Which gives the average as 243/10 = 24.3

Therefore, since the average is a point estimate, and measure of central tendency, to give the average rounded up in error will impact on the description of the data as the average is closer to 24 than to 25.

Answer 2

It is not reasonable

Explanation:

We have a population of 150 and the person takes 10 data from the raccoons, if we take the average of these values, we are left with:

(17 +19 +20 +21 +23 +27 +28 +28+ 28 + 32) / 10 = 24.3

Therefore the inference of the average weight is to approximate up to 25.

This is NOT correct, since it cannot be approximated in this way first and also that the sample is not representative. 10 sample data of 150, which is the population, will give results with a very large margin of error and with a minimum level of confidence.

Therefore it is not reasonable.