An experiment is conducted to determine whether a new computer program will speed up the processing of credit card billing at a large bank. The mean time to process billing using the present program...

An experiment is conducted to determine whether a new computer program will speed up the processing of credit card billing at a large bank. The mean time to process billing using the present program is 12.3 seconds with a standard deviation of 3.5 seconds. The new program is tested with 100 billings and yielded a sample mean of 10.9 seconds. Assuming the standard deviation of times in the new program is the same as the old, does the new program significantly reduce the time of processing? Use α = 0:05.