Developing appropriate hypotheses

Reference no: EM1311592

The Employment and Training Administration reported the U.S. mean unemployment insurance benefit of $238 per week (The World Almanac 2003). A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was below the national level.

a. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention.

H₀: µ =

H_a: µ <

b. For a sample of 120 individuals, the sample mean weekly unemployment insurance benefit was $231 with a sample standard deviation of $60. The p-value is

c. Using α = .05, can you conclude that the mean weekly unemployment insurance benefit in Virginia is below the national level?

Answer the next three questions using the critical value approach.

d. Using α = .05, what is the critical value for the test statistic (to 2 decimals)?

e. State the rejection rule: Reject H₀ if t is the critical value.

f. Using α = .05, can you conclude that the mean weekly unemployment insurance benefit in Virginia is below the national level?

Reference no: EM1311592

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