A survey is planned to determine the mean annual family medical expenses of employees of a large company. The management of the company wishes to be 99% confident that the sample mean is correct to within + $40 of the population mean annual family medical expenses. A previous study indicates that the standard deviation is approximately $435. a. How large a sample is necessary? b. If management wants to be correct to within + $15, how many employees need to be selected? Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. ... .. a. How large a sample is necessary? n = (Round up to the nearest integer.) b. If management wants to be correct to within + $15, how many employees need to be selected? n= (Round up to the nearest integer.)