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The commercial banking industry is undergoing rapid changes due to advances in technology and competitive pressures...

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
math   Statistics-And-Probability   
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Answer #1

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