2. Bankrate.com reports mortgage loan interest rates for 30-year and 15-year fixed-rate mortgage loans for 9 randomly selected lending institutions. Assuming normality, a financial analyst would like to determine whether there is a difference between mean 30-year rates and mean 15-year rates. Alpha = 0.05 Lending Institutions 1 2 3 4 5 6 7 8 9 30 year 6.72 6.75 6.74 6.60 6.43 6.88 6.90 6.68 6.80 15 year 6.60 6.37 6.55 6.36 6.16 6.58 6.80 6.39 6.54 Ho: n = df = alpha = 5% Ha: mean of differences = Decision: standard deviation of differences = 0.089