Espaí A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Illinois and Massachusetts. 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 15 childcare workers from Illinois and an independent random sample of 15 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 45985, 37240, 46895, 45091, 41853, 45138, 53463, 51655, 47796, 51058, 40233, 49095, 40394, 39905, 49575 Illinois Massachusetts 38439, 42441, 43968, 53645, 41006, 46629, 49825, 47119, 37071, 37348, 40204, 49762, 39894, 47038, 41879 Send data to calculator 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, u, of childcare workers in Illinois is greater than the mean annual income, l, 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,. H, : H1 > H2 (b) Determine the type of test statistic to use. Degrees of freedom: dfn: dfd: OSO (c) Filt Chi-Square test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean annual income of childcare workers in Illinois is greater than the mean annual income of childcare workers in Massachusetts? O Yes ONo olo
Espaí A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Illinois and Massachusetts. 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 15 childcare workers from Illinois and an independent random sample of 15 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 45985, 37240, 46895, 45091, 41853, 45138, 53463, 51655, 47796, 51058, 40233, 49095, 40394, 39905, 49575 Illinois Massachusetts 38439, 42441, 43968, 53645, 41006, 46629, 49825, 47119, 37071, 37348, 40204, 49762, 39894, 47038, 41879 Send data to calculator 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, u, of childcare workers in Illinois is greater than the mean annual income, l, 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,. H, : H1 > H2 (b) Determine the type of test statistic to use. Degrees of freedom: dfn: dfd: OSO (c) Filt Chi-Square test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean annual income of childcare workers in Illinois is greater than the mean annual income of childcare workers in Massachusetts? O Yes ONo olo
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Español
A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Illinois and Massachusetts. 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 15 childcare workers from Illinois and an
independent random sample of 15 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as
follows.
圖
Annual income in dollars
an
Illinois
45985, 37240, 46895, 45091, 41853, 45138, 53463, 51655, 47796, 51058, 40233, 49095, 40394, 39905, 49575
Massachusetts 38439, 42441, 43968, 53645, 41006, 46629, 49825, 47119, 37071, 37348, 40204, 49762, 39894, 47038, 41879
Send data to calculator
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, u, of childcare workers in Illinois is greater than the mean annual income, H, 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 Ho and the alternative hypothesis H.
H, : H1 = H2
H : 41 > H2
(b) Determine the type of test statistic to use.
F
Degrees of freedom: dfn: dfd:
O=0
OSO
(c) Filt
|test statistic. (Round to three or more decimal places.)
口<ロ
Chi-Square
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
(e) Can we support the claim that the mean annual income of childcare workers in Illinois is
greater than the mean annual income of childcare workers in Massachusetts?
O Yes ONo
olo
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