A random sample of nine local banks shows their deposits (in billions of dollars) 3 years ago and their deposits (in billions of dollars) today. At \(\alpha=0.05\), can it be concluded that the average in deposits for the banks is greater today than it was 3 years ago? Use \(\alpha=0.05\). Assume the variable is normally distributed.

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Bank 1 2 3 4 5 6 7 8 9 3 years ago 11.42 8.41 3.98 7.37 2.28 1.10 1.00 0.9 1.35 Today 16.69 9.44 6.53 5.58 2.92 1.88 1.78 1.5 1.22