For questions 2-6, refer to the following information: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.

Q 2

Question 2

What is the standard error?(1 point)

Select one:

a. 3.22

b. 1.77

c. 14.54

d. 0.125

e. 9.67

Q 3

Question 3

What is the critical value? (1 point)

Select one:

a. 1.860

b. 2.262

c. 2.306

d. 2.365

e. 1.972

Q 4

Question 4

What is the margin of error?(1 point)

Select one:

a. 3.49

b. 8.15

c. 2.08

d. 7.43

e. 9.32

Q 5

Question 5

What is the 95% confidence interval? Provide an appropriate interpretation of this confidence interval.(2 points)

Select one:

a. There is a 95% chance that the true mean of all such cholesterol levels will fall within the interval (174, 219).

b. There is a 95% chance that the true mean of all such cholesterol levels will fall within the interval (137, 144).

c. We are 95% confident that the interval (174, 219) actually does contain the true value of the mean of all such blood sodium concentrations.

d. We are 95% confident that the interval (137, 144) actually does contain the true value of the mean of all such blood sodium concentrations.

e. Both a and c are correct.

f. Both b and d are correct.

Q 6

Question 6

Suppose the study investigators decreased the sample size from 200 to 25. What is the value of the critical value, and how will it affect he confidence interval?(2 points)

Select one:

a. Critical value: 1.711. As the sample size decreases the spread of the confidence interval will decrease and become more precise.

b. Critical value: 2.064. As the sample size decreases the spread of the confidence interval will decrease and become more precise.

c. Critical value: 1.711. As the sample size decreases the spread of the confidence interval will increase and become less precise.

d. Critical value: 2.064. As the sample size decreases the spread of the confidence interval will increase and become less precise.

e. None of the above