REASONING A pharmaceutical company is testing a new medication that is supposed to shorten the number of days a patient experiences symptoms of influenza. It was tested on 45 patients, and the average number of days until symptoms cleared was 5.3 with a standard deviation of 1.1 days.

a. Use the sample size and standard deviation to find the maximum error of estimate to two decimal places for a confidence level of 99%. Interpret the results in the context of the population mean.

b. Write the 99% confidence interval to two decimal places for the population mean number of days until symptoms resolve with the new medication.