Question

In certain regions of the country, elk can cause damage to agricultural crops by walking through the fields. One strategy designed to limit elk from crossing a field is to surround the field with a fence. Some elk, however, will still be able to bypass the fence. For a period of one month, the number of elk found crossing a sample of fields with a fence was recorded and used to construct the 95 percent confidence interval (2.9,4.4)(2.9,4.4) for the mean number of elk. Assume that the conditions for inference were checked and verified.

The interval (2.9,4.4)(2.9,4.4) provides convincing statistical evidence for which of the following claims?

a.The mean number of elk to cross a field protected by a fence is 4 per month.
b.The mean number of elk to cross a field protected by a fence is 2 per month.
c.The mean number of elk to cross all fields protected by a fence is greater than 2 per month.
d.The mean number of elk to cross all fields protected by a fence is less than 2 per month.
e.The mean number of elk to cross all fields protected by a fence is equal to 3.65 per month.

Answer 1

Answer:c.The mean number of elk to cross all fields protected by a fence is greater than 2 per month.

is the correct answer.

Explanation:

Since we cannot assume the exact number from an interval we have to pick one of the more broad answers, and since our range is only numbers greater than two we will pick C.

Answer 2

The mean number of elk to cross all fields protected by a fence is greater than 2 per month.

Explanation:

The interval (2.9,4.4) gives a range of plausible values for the unknown mean number of elk crossing the field, and all these plausible values are greater than 2, so the interval provides convincing statistical evidence for the claim.