# work on the Union National Bank Case Study.

work on the Union National Bank Case Study.

This case study has been developed from an original case study in the Course Textbook (Database in Appendix A)
Summary of Learning Outcomes:
LO 1. Analyze the probability of given business outcomes using fundamental probability concepts for discrete and continuous probability distributions.
LO 2. Apply concepts of sampling and the Central Limit Theorem in obtaining information that will facilitate the analysis of appropriate business issues.
LO 3. Compute the probability of given business outcomes by building one and two tailed confidence intervals for Z and t probability distributions.
Case Study Overview
You work in the Planning Department of Union National Bank and report to Ms. Maryam. Union National Bank has offices in several locations.
Ms. Maryam would like to know the characteristics of her checking account customers. You will do a data analysis and prepare a written report to summarize your findings. You will use AED as the common currency of the data. The complete data is also provided in the project excel workbook.
To purpose of the report that you will write is to try to answer a number of questions concerning bank customers such as:
i. What is the balance of a typical customer?
ii. How many other bank services do the checking account customers use?
iii. Do the customers use the ATM service and, if so, how often?
iv. How about debit cards? Who uses them and how often are they used?

As you are the head of the research team you select a random sample of 60 customers to answer the above questions. In addition to the balance in each account at the end of last month you determine:
1. The number of ATM transactions in the last month
2. The number of other bank services (a saving account, a certificate of deposit, etc.) the customer uses.
3. Whether the customer has a debit card (this is a bank service in which charges are made directly to the customer‘s account)
4. Whether or not interest is paid on the checking account

The sample data you have collected includes customers from the branches in Dubai (1); Abu Dhabi (2); RAK (3); and Sharjah (4).
Develop a graph and table that shows the data of the checking balances. What is the balance of a typical customer? What percentage of customers has more than AED 2,000 in their accounts? Around what value do the account balances tend to cluster?
Determine and compare the mean, median, mode, range and the standard deviation of the checking account balances. Make meaningful comments on findings.
Create a discrete probability distribution of the data “the number of other bank services used”. What is the probability that a selected customer uses less than 5 other bank services? What is the probability that a selected customer uses 3 or more other bank services?