Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Illinois is greater than the mean annual income of childcare workers in Massachusetts. To see if this is true, the firm selected a random sample of 20 childcare workers from Illinois and an independent random sample of 20 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 37896, 50812, 42944, 45727, 43304, 52847, 43622, 42464, 47874, 44955, 47674, 48239, 55083, 36382, 48214, Illinois 46704, 48523, 53463, 31679, 34975 | 41237, 53288, 43667, 43092, 39306, 49712, 51263, 42971, 46154, 52665, 46595, 43768, 36185, 37979, 33292, 54628, 46888, 43504, 43334, 48774 Massachusetts Send data to calc... ♥ The population standard deviations for the annual incomes of childcare workers in Illinois and in Massachusetts are estimated as 6200 and 6300, 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, of childcare workers in Illinois is greater than the mean annual income, µ, of childcare workers in Massachusetts? Perform a one-tailed test. Then 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 H and the alternative hypothesis H,. Ho :0 H1 :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) O

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