Espanol A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Indiana.

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Espanol A Nationwide Job Recruiting Firm Wants To Compare The Annual Incomes For Childcare Workers In Texas And Indiana 1 (70.56 KiB) Viewed 82 times

Espanol 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 industry, 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 this is true, the firm selected a random sample of 15 childcare workers from Texas and an independent random sample of 15 childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars இ Texas 41844, 28208 , 24180, 27877, 28900, 45958, 31424, 30073,36318 , 29350, 26932, 36019,30275, 41534, 46578 Indiana 43004, 36613, 46680, 37836, 43024, 43537/36562,33404,3504338867,30433,43471, 30644, 34386,33572 Send data to calculator V Send data to Excel An 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 0.10 level of significance, is there sufficient evidence to support the claim that the mean annual income, ly, of childcare workers in Texas is less than the mean annual income, Hy, of childcare workers in Indiana? 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.) u o р (a) State the null hypothesis H. and the alternative hypothesis H1 H: H, :0 x S e 음 Determine the type st statistic to use. t ロロ OSO DED ■ Degrees of freedom: 1 ロプロ <D ロロ D (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 х х $ ? (d) Find the p-value. (Round to three or more decimal places.) (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