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) for the mean number of elk. Assume that the conditions for inference were checked and verified.
Required:
The interval (2.9, 4.4) provides convincing statistical evidence which claims?

Answer 1

Answer:

The mean number of elk to cross all fields protected by fence is equal to 3.65 per month.

Step-by-step explanation:

Given the confidence interval : (2.9,4.4)

Confidence = xbar ± standard Error

To obtain the mean :

We first calculate the standard error :

Standard Error from confidence interval :

(Upper boundary - Lower boundary interval) / 2

(4.4 - 2.9) / 2

1.5 / 2

= 0.75

Hence, the mean can be obtained as :

(Lower boundary + 0.75) or (Upper boundary - 0.75)

Lower boundary + 0.75 = 2.9 + 0.75 = 3.65

Upper boundary - 0.75 = 4.4 - 0.75 = 3.65