Hypothesis testing. Please show work.

Sample size 20

Significance level 0.01

H0: > ROE2003

< ROE2003

Bank Name 2001 ROE 2003 ROE

BB&T Inc. 10.77% 15.80%

Suntrust Inc. 13.70% 16.50%

Bank of America, Inc. 22.00% 14.00%

Wells Fargo Inc. 18.00% 12.60%

Regions Bank 14.60% 12.60%

Capital One Inc. 18.80% 19.30%

Wachovia 13.30% 8.00%

Chase Inc. 4.10% 14.60%

Whitney Bank 11.00% 10.90%

Sallie Mae 58.30% 23.00%

Charles Schwab 48.30% 31.30%

Huntington Bank 17.00% 5.80%

World Bank 14.10% 5.00%

HSBC 55.20% 56.70%

United Community Bank 9.50% 14.00%

PNC Financial 15.10% 6.50%

US Bancorp 19.40% 9.00%

Federal Reserve Bank of Chicago 13.30% 4.30%

BNP 13.30% 16.30%

Commerica 12.90% 14.80%