The American Federation of Teachers, publishes an annual sal…

The Americаn Federаtiоn оf Teаchers, publishes an annual salary repоrt. In 2003, a sample of 51 teachers in California had mean salary with $56, 690 and a standard deviation of $9,000.  In Michigan of the same year, the mean salary for 61 teachers was $52, 000 with a standard deviation of $6000.  Test the hypothesis that the mean salary of teachers in California is greater than the mean salary of the teachers in Michigan.  Use a 0.05 significance level. We will assume that the California teachers are group 1.   a.