LThe population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-tailed test. Then complete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)80°FPartly sunny(a) State the null hypothesis Ho and the alternative hypothesis H₁.0H₁ :0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)0(e) Can we support the claim that the mean annual income of childcare workers in Connecticut isgreater than the mean annual income of childcare workers in California?O Yes O NoD144HzHoExplanationCheckO Searchacer12.9BIxX8□□0=0 OSOXaWS□/12:211/13/2 A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcareindustry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income ofchildcare workers in California. To see if this is true, the firm selected a random sample of 10 childcare workers from Connecticut and an independent randomsample of 10 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows.80°FPartly sunnyAnnual income in dollarsConnecticut 42438, 52287, 46837, 49334, 52848, 52929, 57111, 51860, 44967, 52174California 50998, 38334, 56804, 50919, 49446, 41141, 45717, 43963, 55156, 47295LLD 144HzSend data to calculator VThe population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-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 Ho and the alternative hypothesis H₁.0HoSend data to ExcelH₁ :0(b) Determine the type of test statistic to use.ExplanationCheckO Searchacer✿A3XIWaS8P010XJomeEspañol?018Aa177

Question

LThe population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-tailed test. Then complete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)80°FPartly sunny(a) State the null hypothesis Ho and the alternative hypothesis H₁.0H₁ :0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)0(e) Can we support the claim that the mean annual income of childcare workers in Connecticut isgreater than the mean annual income of childcare workers in California?O Yes O NoD144HzHoExplanationCheckO Searchacer12.9BIxX8□□0=0 OSOXaWS□<口рŚ0XPrtScDeldasHomeEspañol?A.aPg Up>/12:211/13/2 A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcareindustry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income ofchildcare workers in California. To see if this is true, the firm selected a random sample of 10 childcare workers from Connecticut and an independent randomsample of 10 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows.80°FPartly sunnyAnnual income in dollarsConnecticut 42438, 52287, 46837, 49334, 52848, 52929, 57111, 51860, 44967, 52174California 50998, 38334, 56804, 50919, 49446, 41141, 45717, 43963, 55156, 47295LLD 144HzSend data to calculator VThe population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. Itis also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claimthat the mean annual income, μ₁, of childcare workers in Connecticut is greater than the mean annual income, μ₂, of childcare workers in California? Perform aone-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 Ho and the alternative hypothesis H₁.0HoSend data to ExcelH₁ :0(b) Determine the type of test statistic to use.ExplanationCheckO Searchacer✿A3XIWaS8P010XJomeEspañol?018Aa177

Accepted Answer

Given,
The population standard deviations for the annual incomes of childcare workers in…