The mean waiting time at the drive-through of a fast-food restaurant from the ti

Question

The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease wait time, on average. He initiates the new system at his restaurant and measures the wait time for 12 randomly selected orders. Summary statistics for the 12 orders are given below:

Mean 78.4

Standard deviation   14.1

Calculate the test-statistic (with degrees of freedom) to test the manager’s claim that the new drive-through system will decrease wait time, on average.

Explanation / Answer

Let

ho : Mu>=84.3

ha : Mu<84.3

t = (78.4-84.3)/(14.1/sqrt(12)) = -1.45

at df = n-1=11, we have: p value = .0875

Which is more than .05 , thereby failing to reject null hypothesis. This is against the manager' claim that new system reduces wait time.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.