Waiting times (in minutes) of customers at a bank where all customers enter a si

Question

Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different windows are listed below. Find the coefficient of variation for each of the two sets of data, then compare the variation. The coefficient of variation for the waiting timers at Bank A is % (Round to one decimal place as needed.) The coefficient of variation for the waiting times at the Bank B is % (Round to one decimal place as needed.) Is there a difference in variation between the two data sets? A. The waiting tines at Bark A have considerably less variation than the waiting times at Bank B B. The waiting times at Bank B have considerably less variation than the waiting times at Bank A. C. There is no significant difference in the variations

Explanation / Answer

We have given two brands A and B.

We have to find coefficient of variation for these two datasets.

The formula of coefficient of variation is,

CV = (standard deviation / mean) * 100

Now we have to find mean and standard deviation of both the data sets.

We can find mean and standard deviation in MINITAB.

steps :

ENTER data into MINITAB sheet --> Stat --> Basic statistics --> Display descriptive statistics --> variables : select both the data columns --> Statistics --> click on all the statistic --> ok --> ok

So from the output,

Brand A :

mean = 7.130

Sd = 0.519

CVA = (0.519/7.130)*100 = 7.3%

Brand B :

mean = 7.090

Sd = 1.820

CVB = (1.82/7.09)*100 = 25.7%

CVB > CVA

CV for brand B is more variable and CV for brand A is more consistant.

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