Discuss a bank transaction problem


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Q: A bank has determined that an average transaction time of sixty seconds with a variation of plus or minus five seconds for automated teller machines (ATM's) is expected. A survey shows the following transaction times.

Day     Time in Seconds    
M 63 55 56 53 61
T 60 63 60 65 61
W 57 60 61 65 66
TH 58 64 60 61 57
F 79 68 65 61 71
M 55 66 62 63 56
T 57 61 58 64 55
W 58 51 61 57 66
TH 65 66 62 68 67
F 73 66 61 70 72

a. Calculate the process mean.

b. Calculate the average range.

c. Calculate the process control limits for the process mean and the range.

d. Calculate the process capability index (Cp; PCI).

e. Calculate the CpK for the process.

f. Determine if the process is capable and in control.

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