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A simple random sample of 80 workers with high school diplomas is obtained, and the annual...

A simple random sample of 80 workers with high school diplomas is obtained, and the annual incomes have a mean of $37,622 and a standard deviation of $14,115. Another simple random sample of 39 workers with bachelor's degrees is obtained and the annual incomes have a mean of $77,689 with a standard deviation of $24,227. Use a 0.01 significance level to test the claim that workers with a high school diploma have a lower mean annual income than workers with a bachelor's degree.

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