d) This part is independent of parts a) to c). A researcher collected data on the annual salary of professors in Ontario. He wishes to construct a confidence interval for the population mean annual salary. Which of the following statement(s) is true? You can pick more than one if necessary. 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