The Longmont Computer Leasing Company wishes to estimate the mean number of pages that will be printed in a month on its leased printers. The plan is to select a random sample of printers and record the number on eachprinter's counter at the beginning of May.Then, at the end ofMay, the number on the counter will be recorded again and the difference will be the number of copies on that printer for the month. The company wants the estimate to be within 140 pgs. of the true mean with a 98% confidence level. Complete parts a and b below.

a. The standard deviation in pages printed is thought to be about 1,100 pgs. How many printers should besampled?

B. Suppose that the conjecture concerning the size of the standard deviation is off plus or minus by as much as 10%, what percent change in the required sample size would this produce?

(Round up to the nearest wholenumber.)