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Case Study National Century Bank

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TABLE OF CONTENT 1 | Introduction | 2 | 2 | Question 1 | 3 | 3 | Question 2 | 4 | 4 | Question 3 | 6 | 5 | Question 4 | 9 | 6 | Question 5 | 11 | 7 | Conclusion | 12 | INTRODUCTION Century National Bank has offices in several cities in the Midwest and the southeastern part of the United States. Mr. Dan Selig, president and CEO, would like to know the characteristics of his checking account customer. To better understand the customers, Mr. Selig asked Ms. Wendy Lamberg, director of planning, to select a sample of customers and prepare a report. To begin, she has appointed a team from her staff and the team has selected a random sample of 60 customers. All the information gathered is tabulated in the table below: X1 = …show more content…

For many years the mean checking balance has been $1600. Does the sample data indicate that the mean account balance has declined from this value? SOLUTION µ (Checking balance) = $1600.00 Number of customers, n = 60 In this case, level of significance, α was not provided. Therefore, the analysis will be evaluated based on two α values which are: α = 0.05; Zα = - 1.65 α = 0.01; Zα = - 2.33 Hypotesis testing 1) H0 : µ ≥ 1600 H1 : µ < 1600 2) α = 0.05 α = 0.01 3) Left-tail test Z(0.05) = - 1.65 Z(0.01) = - 2.33 4) Z calculated :- -1.65 -2.33 α=0.05 α=0.01 Z= -1.2994 5) From calculations, computed z value is more than -1.65 and falls within Ho not rejected region. Ho is not rejected at α = 0.05 & α = 0.01 significance levels. It is concluded that the mean checking balance is still similar or more than $1600 QUESTION 3 Recent years have also seen an increase in the use of ATM machines. When Mr. Selig took over the bank, the mean number of transactions per month per customer was 8; now he believes it has increased to more than 10. In fact, the advertising agency that prepares TV commercial for Century would like to use this on the new commercial being designed. Is there sufficient evidence to conclude that the mean number of transactions per customer is more than 10 per month? Could the advertising agency say the mean is more than 9 per month? SOLUTION

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