Question

Suppose you construct a 96% confidence interval for a population mean from a normal distribution with known $\sigma$ .

Scenario 1: If you increase the size of the sample while keeping the same 95% level of confidence, how would your confidence interval be affected? Circle answer.

a. would be wider

b. would be narrower

c. there would be no change

d. no way to know without additional information

Scenario 2: If you increase the level of confidence from 96% to 99% while keeping the sample size the same, how would the confidence interval be affected? Circle answer

a. would be wider

b. would be narrower

c. there would be no change

d. no way to know without additional information

Answer 1

solution:- 1) Гв оuld bе mоотофеъ 2 As mincreases width of cI decreases} 2) A would be wider & As confidence level increases, contidence internal becomes wider.