How is it done please show explanation

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Indiana. Due to recent trends in the childcare indus the firm suspects that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Indiana. To see if t is true, the firm selected a random sample of 25 childcare workers from Texas and an independent random sample of 25 childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Texas 30111, 35543, 34245, 42733, 40077, 25500, 35332, 28216, 38243, 37548, 34262, 31505, 37073, 31673, 33941, 32640, 27860, 29796, 32562, 39692, 35943, 40878, 48072, 29502, 32661 Indiana 42600, 30305, 34336, 42456, 34420, 30744, 38497, 38950, 40314, 32071, 37746, 43031, 37645, 41701, 43402, 33090, 39851, 36107, 45694, 32670, 39027, 39030, 43787, 44748, 40842 Send data to calculator Send data to Excel The population standard deviation for the annual incomes of childcare workers in Texas and in Indiana are estimated as 6200 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean annual income, 1, of childcare workers in Texas is less than the mean annual income, H2, of childcare workers in Indiana? Perform a one-tailed test. Th complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H1 . O P Ho : 0 X S p H :0 (b) Determine the type of test statistic to use. 0=0 OSO 020 (Choose one) V (c) Find the value of the test statistic. (Round to three or more decimal places.) 070 00 X (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Indiana? Yes No