Question

In a town’s study of its stray cats, a sample of stray cats had a mean weight of 7.3 lb. The study had a margin of error of 1.1 lb.

What is the interval estimate for the mean weight of the town’s stray cats in the form (lower limit, upper limit)?

Show your work:

Answer 1

(6.2, 8.4)

Explanation:

Mean weight of the cats = u = 7.3 lb

Margin of Error = E = 1.1 lb

The interval estimate is calculated by subtracting and adding the margin of error to the mean value as shown below:

( u - E, u + E)

Using the given values, we get:

(7.3 - 1.1, 7.3 + 1.1)

(6.2, 8.4)

Thus, the interval estimate for the mean weight of the town’s stray cats is (6.2, 8.4)