Question

The Revenue Commissioners in Ireland conducted a contest for promotion. Of the 30 unsuccessful applicants, the mean age was 46.9 years with a standard deviation of 11.9. Of the 28 successful applicants, the mean age was 39 years with a standard deviation of 11.4. Test the claim that the unsuccessful applicants are from a population with a different than the mean age of successful applicants at the 0.02 significance level.

The test statistic is:                             [ Select ]                       ["2.582", "2.906", "2.132", "2.759", "2.292"]      

The range of the P-value is:                             [ Select ]                       ["0.01 < P-value < 0.02", "0.02 < P-value < 0.05", "0.05 < P-value < 0.1", "P-value < 0.01", "0.1 < P-value < 0.2", "0.2 < P-value"]      

Based on this we:                            [ Select ]                       ["Reject the null hypothesis", "Fail to reject the null hypothesis"]      

Conclusion There                            [ Select ]                       ["does not", "does"]         appear to be enough evidence to support the claim that the unsuccessful applicants are from a population with a different than the mean age of successful applicants.

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Answer 1

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Using t table, the range of p-value is

"0.01 < P-value < 0.02"

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Since p-value is less than 0.02 so

Reject the null hypothesis

Conclusion There does appear to be enough evidence to support the claim that the unsuccessful applicants are from a population with a different than the mean age of successful applicants.