Question

True or False. (a) All other factors remaining the same, increasing the sample size,

n, will decrease the width of a confidence interval. (b) We expect 95% of all 95% confidence intervals to contain the true population parameter.

Answer 1

Increasing the sample size decreases the width of a confidence interval. We expect 95% of all 95% confidence intervals to contain the true population parameter.

Step-by-step explanation:

(a) True. Increasing the sample size reduces the variability and increases the precision of the estimate. This leads to a narrower confidence interval.

(b) True. A 95% confidence level means that in repeated sampling, 95% of the confidence intervals calculated will contain the true population parameter.