SOLUTION: A store manager has developed a new process to reduce the time customers spend waiting in the checkout line. The manager�s goal is to reduce the average waiting time from the curre

Question 297000: A store manager has developed a new process to reduce the time customers spend waiting in the checkout line. The manager�s goal is to reduce the average waiting time from the current 9 to 10 minutes to less than 6 minutes.
To measure the effectiveness of the new system, the manager will measure the waiting times of 100 customers.
A. Let (mu) represent the mean waiting time for the new process. Set up the null and alternative hypotheses needed to provide evidence to support the claim that (mu) is less than 6 minutes.
B. In the context of the hypotheses in part A, interpret the consequences of making a Type I error, and a Type II error
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A store manager has developed a new process to reduce the time customers spend waiting in the checkout line. The manager�s goal is to reduce the average waiting time from the current 9 to 10 minutes to less than 6 minutes.
To measure the effectiveness of the new system, the manager will measure the waiting times of 100 customers.
A. Let (mu) represent the mean waiting time for the new process. Set up the null and alternative hypotheses needed to provide evidence to support the claim that (mu) is less than 6 minutes.
Ho: u >= 6
Ha: u < 6
------------------------
B. In the context of the hypotheses in part A, interpret the consequences of making a
Type I error: Probability you reject the idea that the waiting time is greater
than 6 minutes when in fact it is true.
----------------------------------------------
Type II error: Probability you fail to reject the idea that the waiting time
if greater than 6 minutes when in fact you should reject it and accept the
evidence that the mean waiting time is less than 6 minutes.
===============================================================
Cheers,
Stan H.
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