A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapse from when the customer enters the queue until he/she reaches the teller’s window. In addition, suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 pm lunch period and data were collected at random at these branches and recorded below; No of Customers Commercial dist branch (time) Residential area branch (time) 1 – 5 3 3 6 - 10 5 6 11 - 15 8 5 16 – 20 8 3 21 - 25 4 2 Required  Which of the branches has a relatively better mean waiting time? Which shop can be surer of meeting the mean waiting time at the two branches? Assuming that the population variances from both banks are unequal, is there evidence of a difference in the mean waiting time between the two branches at 5% significant level?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapse from when the customer enters the queue until he/she reaches the teller’s window. In addition, suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 pm lunch period and data were collected at random at these branches and recorded below;

No of Customers

Commercial dist branch (time)

Residential area branch (time)

1 – 5

3

3

6 - 10

5

6

11 - 15

8

5

16 – 20

8

3

21 - 25

4

2

Required 

  1. Which of the branches has a relatively better mean waiting time?
  2. Which shop can be surer of meeting the mean waiting time at the two branches?
  3. Assuming that the population variances from both banks are unequal, is there evidence of a difference in the mean waiting time between the two branches at 5% significant level?
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