Question

Interpret the margin of error. Choose the correct answer below. A. We can be​ 95% confident that any possible value of the variable is within the margin of error of the population​ mean, mu. B. We can be​ 95% confident that any possible value of the variable is within the margin of error of the sample​ mean, 22. C. We can be​ 95% confident that any possible sample mean is within the margin of error of 22. D. We can be​ 95% confident that the population​ mean, mu​, is within the margin of error of the sample​ mean, 22.

Answer 1

Answer: D. We can be​ 95% confident that the population​ mean, mu​, is within the margin of error of the sample​ mean, 22.

Explanation:

The confidence interval is determined for an unknown population parameter. This is usually the population mean. It could sometimes be the population standard deviation.

The sample mean is the point estimate for the population mean.

Confidence interval = sample mean ± margin of error

The confidence interval tells how sure we are that the unknown population parameter is within the given calculated boundaries.

Therefore, if population mean = mu and sample mean = 22, then with a 95% confidence interval, the correct option is

D. We can be​ 95% confident that the population​ mean, mu​, is within the margin of error of the sample​ mean, 22.