2. In 2003, the average unemployment insurance benefit in the U.S. was $238 per week.

A researcher suggested that his belief was that a sample taken in Virginia would show

that the average unemployment benefit in Virginia was below the national average.

For a sample of 40 individuals, the sample mean benefit was $231 with a sample

Standard deviation of $80. Let a =.05.

a.Verify whether the Central Limit Theorem conditions are met.

b.Develop the null hypothesis and the alternative hypothesis.

c.Calculate the test statistic.

d.Find the critical t value.

e.Draw a picture and state the rejection rule and your conclusion in the context of this problem.