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During the winter of 2010-2011, the average utility bill for Delaware residents was $186 per month. A random sample of 40 customers was selected during the winter of 2011-2012, and the average utility bill was found to be $178.10 with a sample standard deviation of $22.40.

a) Using α = 0.05, does this sample provide enough evidence to conclude that the average utility bill in Delaware was lower in the winter of 2011-2012 than it was in the winter of 2010-2011?

b) What is the p-value for this test?

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