Respuesta :
Answer:
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."