Calculate the cpk for the machine


Question 1: A toll tunnel has decided to experiment with the use of a debit card for the collection of their tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly 4 seconds to verify the debit card. How much time (in seconds) would you expect the customer to wait in line, pay with the debit card, and leave?
 
a. 24.0 seconds  
 
b. 4.0 seconds  
 
c. 16.5 seconds  
 
d. 14.0 seconds  
 
Question 2: In the toll tunnel problem, how many cars (rounded to whole car)would you expect to see in the system?
 
a. 3  
 
b. 5  
 
c. 8  
 
Question 3: C-Spec, Inc. is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4.000 +/- 0.003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inches. Calculate the CPK for this machine.
 
a. .999  
 
b. .666  
 
c. .333  

Question 4: In the C-Spec problem, should C-Spec, Inc. use this machine to produce this part?
 
a. Yes  
 
b. No  
 
Question 5: In the C-Spec problem, why or why not should they use this machine?
 
a. The machine can produce part.  
 
b. The machine is available.  
 
c. The machine is not capable of producing the part.  
 
Question 6: List and briefly explain the characteristics of the waiting line situation.

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Microeconomics: Calculate the cpk for the machine
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