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In: Statistics and Probability

The Employment and Training Administration reported the U.S. mean unemployment insurance benefit was $238 per week...

The Employment and Training Administration reported 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 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:  - Select your answer -greater than or equal to 238greater than 238less than or equal to 238less than 238equal to 238not equal to 238Item 1
Ha:  - Select your answer -greater than or equal to 238greater than 238less than or equal to 238less than 238equal to 238not equal to 238Item 2

b. For a sample of 80 individuals, the sample mean weekly unemployment insurance benefit was $231 with a sample standard deviation of $70. The p-value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 3

c. Using  = .05, can you conclude that the mean weekly unemployment insurance benefit in Virginia is below the national level?
- Select your answer -YesNoItem 4

Answer the next three questions using the critical value approach.

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

e. State the rejection rule: Reject H0 if t is - Select your answer -greater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 6 the critical value.

f. Using  = .05, can you conclude that the mean weekly unemployment insurance benefit in Virginia is below the national level?
- Select your answer -YesNoItem 7

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orchestra answered 2 years ago
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