Answer to Question #106786 in Statistics and Probability for Yusuf

Question

Consider the random variable X with a mean 100 and a population standard deviation of 9.
Assume a sample of size 30 was used.

Question 4
Assuming the level of significance stays the same, what happens to the confidence interval estimate when the sample size increases?
(1) The confidence interval estimate doesn’t change.
(2) The confidence interval estimate becomes wider.
(3) The confidence interval estimate becomes narrower.
(4) The confidence interval estimate converges to zero.
(5) None of the above

Answer 1

As the sample size increases, confidence level kept constant, the confidence interval becomes narrower.

(3) The confidence interval estimate becomes narrower.