Past records suggest that the mean annual income, mu 1, of teachers in state of Georgia is greater than or equal to the mean annual income, mu 2, of teachers in Indiana. In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their mean annual income.The data obtained are as follows.
30805, 42080, 48765, 47088, 39466, 36393, 47526, 35985, 39033, 36565, 39248, 39853, 32993, 35535, 39787, 44264, 41197, 35636, 36553, 48459
51421, 33665, 32293, 41780, 31491, 39531, 33030, 33946, 41308, 38789, 36184, 43273, 38914, 43347, 54551, 46510, 53308, 47940, 35383, 30440
The population standard deviation for mean annual income of teachers in Georgia and in Indiana are estimated as 6500 and 6600, respectively. It is also known that both populations are approximately normally distributed. At the 0.1level 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. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
Null hypothesis: H0:______
Alternative hypothesis: H1:______
Type of test statistic: (Z, t, Chi squared, F)
Value of test statistic:______
Critical value at the 0.1 level of significance:____
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?: (Yes/No)
The solution performs a hypothesis test for the annual income for Georgia's Teachers.