According to the local school board president, the school district pays its 1^st year teachers better than the state average. After checking last year's data, the mean gross income for 30 1^st year teachers in the district was $47,000. The state published its survey data of all 1^st year teachers for the previous year and found the mean gross income to be $46,400 with a population standard deviation of $4000. At the .10 significance level, is it reasonable to conclude that the school board president is correct and the mean income is greater than the state average? Use the hypothesis testing check list to answer this question. In your answer provide your conclusion and report the following: alternate hypothesis, test statistic (round to the hundredth place), and p-vale (round to the hundredth place).

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