In: Statistics and Probability
The commercial banking industry is undergoing rapid changes due to advances in technology and competitive pressures in the financial services sector. The data file BANKS contains selected information tabulated by Fortune concerning the revenues, profitability, and number of employees for the 51 largest US Commercial Banks in terms of revenues. Use the information in this file to complete the following:
a. Compute the mean, median and standard deviation for the three variables: revenues, profits and number of employees. Assume the data is defined as a population. (So since it's a population, would we use STDEV or STDEV.P ???)
b. Convert the data for each variable to z value. (Step-by-step explanation of finding z values). Consider Mellon Bank Corporation headquarters in Pittsburgh. How does it compare to the average bank in the study on the three variables? Discuss.
c. As you can see by examining the data and by looking at statistics computed in part (a), not all banks had the same revenue, same profit or the same number of employees. Which variable had the greatest relative variation among the banks in the study?
d. Calculate a new variable: profits per employee. Develop a frequency distribution and histogram for this new variable. Also compute the mean, median and standard deviation for the new variable. Write a short report that describes the profits per employee for the banks.
e. Referring to part (d), how many banks had a profit-per-employee ratio that exceeded 2 standard deviations from the mean?
Name | Revenues | Profits | Employees |
CITICORP | 34697 | 3591 | 93700 |
CHASE MANHATTAN CORP. | 30381 | 3708 | 69033 |
BANKAMERICA CORP. | 23585 | 3210 | 77000 |
NATIONSBANK CORP. | 21734 | 3077 | 80360 |
J.P.MORGAN & CO. | 17701 | 1465 | 16943 |
FIRST UNION CORP. | 14329 | 1896 | 43933 |
BANC ONE CORP. | 13219 | 1306 | 56600 |
BANKERS TRUST N.Y. CORP. | 12176 | 866 | 18286 |
FIRST CHICAGO NBD CORP. | 10098 | 1525 | 33962 |
aMSOUTH BANCORP. | 9660 | 1351 | 55729 |
WELLS FARGO & CO. | 9608 | 1155 | 33100 |
FLEET FINANCIAL GROUP | 8095 | 1303 | 32317 |
U.S. BANCORP | 6909 | 839 | 25858 |
PNC BANK | 6859 | 1052 | 24814 |
BANKBOSTON CORP. | 6727 | 879 | 21500 |
KEYCORP | 6568 | 919 | 24595 |
BANK OF NEW YORK CO. | 5697 | 1104 | 16494 |
WACHOVIA CORP. | 5270 | 593 | 21652 |
NATIONAL CITY CORP. | 5152 | 807 | 29841 |
MELLON BANK CORP. | 5134 | 771 | 27500 |
SUNTRUST BANKS | 4585 | 667 | 21227 |
MBNA | 4524 | 623 | 17398 |
CORESTATES FINAN. CORP. | 4379 | 813 | 18847 |
BARNETT BANKS | 4102 | 255 | 21487 |
REPUBLIC NEW YORK CORP. | 3738 | 449 | 5900 |
STATE ST. CORP. | 3428 | 380 | 14199 |
COMERICA | 3175 | 530 | 11000 |
BB&T CORP. | 2598 | 360 | 9803 |
SOUTHTRUST CORP. | 2503 | 307 | 10311 |
SUMMIT BANCORP | 2367 | 371 | 8566 |
HUNTINGTON BANCSHARES | 2324 | 293 | 9485 |
NORTHERN TRUST CORP. | 2267 | 309 | 7553 |
MERCANTILE BANCORP. | 2257 | 205 | 9510 |
FIRST OF AMER. BANK CORP. | 2078 | 315 | 10622 |
CRESTAR FINANCIAL CORP. | 1997 | 310 | 8215 |
FIFTH THIRD BANCORP | 1924 | 401 | 6787 |
REGIONS FINANCIAL | 1912 | 300 | 9227 |
FIRSTAR CORP. | 1893 | 295 | 7755 |
UNION PLANTERS CORP. | 1778 | 209 | 7711 |
MARSHALL & ILSLEY CORP. | 1743 | 245 | 10227 |
POPULAR | 1739 | 210 | 8854 |
AMSOUTH BANCORP. | 1644 | 226 | 6400 |
FIRST TENN. NATL. CORP. | 1609 | 197 | 8207 |
FIRST SECURITY CORP. | 1503 | 206 | 7673 |
OLD KENT FINANCIAL CORP. | 1306 | 180 | 6328 |
FIRST EMPIRE STATE CORP. | 1258 | 176 | 4781 |
PACIFIC CENTURY FINANCIAL | 1250 | 139 | 5114 |
PROVIDIAN FINANCIAL | 1217 | 191 | 3884 |
SYNOVUS FINANCIAL CORP. | 1215 | 165 | 7496 |
COMPASS BANCSHARES | 1131 | 156 | 5060 |
FIRST NATL. OF NEBRASKA | 1047 | 75 | 5200 |