(Steps Shown) The Employment and Training Administration reported that the U.S. mean unemployment insurance benefit was $238 per week (The World Almanac,


Question: The Employment and Training Administration reported that the U.S. mean unemployment

insurance benefit was $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 un-

employment insurance benefit in Virginia was below the national average.

  1. Develop appropriate hypotheses such that rejection of H 0 will support the researcher’s
    contention.
  2. For a sample of 100 individuals, the sample mean weekly unemployment insurance
    benefit was $231 with a sample standard deviation of $80. What is the p-value?
  3. At α = .05, what is your conclusion?
  4. Repeat the preceding hypothesis test using the critical value approach.

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