I would love to know the answer but also I would like to know how exactly to use the calculator for a problem like this. Thank you.

Past records suggest that the mean annual inoome, [11, of teachers in state of New York is less than or equal to the mean annual income, [.12. of teachers in Rhode Island. In a current study, a random sample of 10 teachers from New York and an independent random sample of 10 teachers From Rhode Island have been asked to report their mean annual income. The data obtained are as follows: Annual Income In dollars New York 5431I, 536I9, 45347, 45885, 41553, 51726, 47361, 47634, 43149, 47521 Rhode Island 43425, 42848, 40162, 41494, 42469, 53121, 56019, 33219, 42600, 4336B % Send data to Excel The population standard deviation for mean annual income of teachers in NewI York and in Rhode Island are estimated as 6400 and 6600, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of signicance, is there sufcient evidence to reject the claim that the mean annual income of teachers in state of New York is less than or equal to the mean annual Enoome of teachers in Rhode Island? Perform a onetailed test. Then ll in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specied in the table. (If necessary, consult a list of formulas.) O The null hypothesis: H : 1" p i n > me alternative hypothesis: H 1 l1