You may need to use the appropriate appendix table or technology to answer this question.A random sample of 52 observations was taken. The average in the sample was 85 with a variance of 400. (Round your answers to three decimal places.)

(a)Construct a 98% confidence interval for . to

(b)Construct a 99% confidence interval for . to

(c)Discuss why the 98% and 99% confidence intervals are different. (Choose a letter below)

A) As the sample size increases and all else stays the same, the confidence interval becomes wider.

B) As the sample size increases and all else stays the same, the confidence interval becomes narrower.

C) Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.

D) As the confidence level increases and all else stays the same, the confidence interval becomes wider.

E) As the confidence level increases and all else stays the same, the confidence interval becomes narrower.

(d)What would you expect to happen to the confidence interval in part (a) if the sample size was increased?(Choose a letter below)

A) Be sure to explain your answer.It would be expected for the interval to shift left or right since the margin of error changed.

B) It would be expected for the interval to become wider since the margin of error decreased.

C) It would be expected for the interval to become wider since the margin of error increased.

D) It would be expected for the interval to become narrower since the margin of error decreased.

E) It would be expected for the interval to become narrower since the margin of error increased.