Past records suggest that the mean annual income,1, of teachers in state of Georgia is greater than or equal to the mean annual income,2, of teachers in Indiana. In a current study, a random sample of15teachers from Georgia and an independent random sample of15

teachers from Indiana have been asked to report their mean annual income.The data obtained are as follows.

Annual income in dollars

Georgia:33555,44037,53470,34792,47018,28408,31059,38042,29368,47944,42942,38940,

44161,33270,39717

Indiana:40935,41500,51795,32916,49170,36466,43440,36725,47539,45551,45100,36505,

31760,33492,42263

The population standard deviation for mean annual income of teachers in Georgia and in Indiana are estimated as6500and6600, respectively. It is also known that both populations are approximately normally distributed. At the0.01level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Georgia is greater than or equal to the mean annual income of teachers in Indiana? Perform a one-tailed test.

Answer the following questions:

The null hypothesis H0:

The alternative hypothesis H1:

The type of test statistic:

The value of the test statistic:

(Round to at least three decimal places.)

The critical value at the0.01

level of significance:

(Round to at least three decimal places.)

Can we reject the claim that the mean annual income of teachers from Georgia is greater than or equal to the mean annual income of teachers from Indiana?