A bank manager has developed a new system to reduce customers' waiting times in the bank queue during peak hours. Administrator has waiting time for the new system

He hopes that it will reduce the waiting time from 9-10 minutes to less than 6 minutes. Construct the necessary zero and alternative hypotheses when we want to provide evidence to support the claim that u is less than 6 minutes to express the average waiting time in the new system. The sample mean and standard deviation of the waiting times of 100 bank customers is = 5.46 and s = 2.475.

a) What would be the test statistic value to test the hypothesis with a = 0.05?

b) If the hypothesis is tested, what will be the decision?

HO is denied

HO cannot be denied

c)What would be the critical value for testing the hypothesis?