Past records suggest that the mean annual income, mu1, of teachers in state of Arizona is greater than or equal to the mean annual income, mu2, of teachers in Nevada

Past records suggest that the mean annual income, mu1, of teachers in state of Arizona is greater than or equal to the mean annual income, mu2, of teachers in Nevada. In a current study, a random sample of 20 teachers from Arizona and an independent random sample of 20 teachers from Nevada have been asked to report their mean annual income.The data obtained are as follows.

Annual income in dollars
Arizona
48303,33944,40726,33817,28847,45779,38982,36947,34453,39765,42384,
43941,29673,33219,41164,37954,36804,39312,44525,33572

Nevada
44780,40971,36770,39739,37583,41542,48342,46483,51735,38833,48769,
49958,41041,34853,36057,54812,39022,47245,44511,47733

The population standard deviation for mean annual income of teachers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Arizona is greater than or equal to the mean annual income of teachers in Nevada? Perform a one-tailed test. Please provide answers as requested below.

Carry your intermediate computations to at least three decimal places and round your answers as specified.

1. The null hypothesis value Ho=

2. The alternative hypothesis value H1=

3. The type of test statistic used(choose one) Z, t and degrees of freedom, chi square and degrees of freedom, F and the dfn and dfd.

4. The value of the test statistic (Round to at least 3 decimal places)

5. The critical value at the 0.05 level of significance(Round to at least 3 decimal places)

6. Can we reject the claim that the mean annual income of teachers from Arizona is greater than or equal to the mean annual income of teachers from Nevada? Yes or No