Select which correctly describe the 95% confidence interval. (Select all that apply.) 95 employees have heights in this interval. 95% of employees have heights in this interval. We are 95% confident that the mean height of the entire business is larger than this interval. We are 95% confident that the mean height of the entire business is in this interval. We are 5% confident that the mean height of the entire business is in this interval. The 85% confidence interval is a subset of the 95% confidence interval. The upper height represents the 95th percentile. The 95% confidence interval is a subset of the 85% confidence interval.

Correct option:

"We are 95% confident that the mean height of the entire business is in this interval."

Step-by-step explanation:

The (1 - α) % confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α) % confidence interval for the parameter implies that there is (1 - α) % confidence or certainty that the true parameter value is contained in the interval.

Assume that the 95% confidence interval for the mean height of the entire business is, (p₁, p₂).

The 95% confidence interval for the mean height of the entire business implies that:

We are 95% confident that the true mean height of the entire business is in this interval. There is a 0.95 probability that the true means lies in this interval. If 100 such interval are computed using 100 samples of the same size, then 95 of those intervals will consist of the true mean height. The upper height of a 95% confidence interval represents the 97.5th percentile and the lower height represents the 2.5th percentile.

Thus, the correct option is:

"We are 95% confident that the mean height of the entire business is in this interval."