Recall that a bank manager has developed a new system to reduce the tme customers spend waiting to be served by toller during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the now system will have a mean waiting time that is less than six minutes. The mean of the sample of 90 bank customer waiting times is $ = 5.43. If we let p denote the mean of all possible bank customer waiting times using the new system and assume that o equals 2 49: (] Calculate 95 percent and 29 percent confidence Intervals for a (Round your answers to 3 decimal places.) 95 percent con' dace interis for u in 29 percent con dence namewas far u is [b) Using the $5 percent confidence Interval, can the bank manager be 95 percent confident that or is less than six minutes? Explain