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13. (20 points) A study was concluded to determine if the salaries of librarians from two neighboring states were equal. A sample of 200 librarians total were sampled from the two states, half of which from one state and the other half from the other state. The mean salary for librarians from the first state was $29,100 with a standard deviation of $2300. The mean salary for librarians from the second state was $30,500 with a standard deviation of $2100. Test the hypothesis that the salaries for librarians between the two states differ. Use a a = 0.05 level of significance. a) Write out the hypotheses: b) Determine the critical values: c) Compute the value of the test statistic: d) Determine the decision: e) Write the concluding statement