A study is conducted to assess the blood pressure of older adults with glaucoma. In the study, 200 older adults with glaucoma are randomly selected and the sample mean systolic blood pressure is 140 mm Hg and the sample standard deviation is 25 mm Hg. Calculate a 95% confidence interval for the true mean systolic blood pressure among the population of older adults with glaucoma. To help you do so, answer each of the following questions.

What is the standard error?

What is the critical value?

What is the margin of error?

What is the 95% confidence interval?

If the sample size changed to 25, what is the critical value and how does it impact the confidence interval?