A researcher collected data on the annual salary of doctors in Nova Scotia.He wishes to construct a confidence interval for the mean annual salary.Which of the following are true?
I.A 98% confidence interval will have a greater chance of including the true mean salary than a 95% confidence interval.
II.A 98% confidence interval will be narrower than a 95% confidence interval.
III.A 98% confidence interval requires the researcher to take a larger sample.

Question

Quizplus · Accepted Answer

A 98% confidence interval has a higher confidence level than a 95% confidence interval, meaning it has a greater chance of including the true mean. However, it will be wider, not narrower, and does not necessarily require a larger sample size.

A Researcher Collected Data on the Annual Salary of Doctors