Question

Suppose a 99​% confidence interval for mu turns out to be (1000 comma 2100 ). If this interval was based on a sample of size n equals 25 comma explain what assumptions are necessary for this interval to be valid.

Answer 1

Assumptions are mentioned below.

Explanation:

It is provided that the 99​% confidence interval for μ is (1000, 2100 ).

Now it is assumed that the 99​% confidence interval for μ was based on a sample of size n = 25.

The assumptions necessary for the interval to be valid are:

• The samples selected must be a simple random sample
• The population from which the samples are selected is approximately normally distributed.
• The variance is independent of the mean.