known ✓oth 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, μ₁, of childcare workers in Texas is less than the mean annual income, μ₂, of childcare workers in Indiana? Perform a one-tailed test. The 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. HO H₁ :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.) (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? O Yes No μ |x 9. ローロ * X. a S 2 OSO

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g
known
oth 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, μ₁, of childcare workers in Texas is less than the mean annual income, μ₂, 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.)
73°F
Partly sunny
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho : :0
H₁:0
(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 p-value. (Round to three or more decimal places.)
0
FULL
HD 144HZ
(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?
O Yes O No
Explanation
Check
O Search
C
I
X
5
ローロ
#
X-
P
O
S
Do
SO
□<口
Р
<Q
010
>
W
Transcribed Image Text:g known oth 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, μ₁, of childcare workers in Texas is less than the mean annual income, μ₂, 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.) 73°F Partly sunny (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho : :0 H₁:0 (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 p-value. (Round to three or more decimal places.) 0 FULL HD 144HZ (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? O Yes O No Explanation Check O Search C I X 5 ローロ # X- P O S Do SO □<口 Р <Q 010 > W
Pag
73°F
Partly sunny
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 10 childcare workers from Texas and an independent random sample of 10 childcare workers from Indiana and
asked them to report their mean annual income. The data obtained were as follows.
Annual income in dollars
Texas 35102, 40287, 32854, 29080, 36394, 22024, 22493, 31602, 27434, 40040
Indiana 38446, 33018, 38027, 43504, 37962, 33838, 35730, 36793, 37714, 25715
HD 144Hz
Send data to calculator V
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, H₁, of childcare workers in Texas is less than the mean annual income, μ₂, of childcare workers in Indiana? Perform a one-tailed test. Then
complete the parts below.
Send data to Excel
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
h
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H:0
H₁:0
(b) Determine the type of test statistic to use.
Explanation
Check
O Search
н
|x
X
O
S
Р
<Q
8
AD
W
E
Transcribed Image Text:Pag 73°F Partly sunny 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 10 childcare workers from Texas and an independent random sample of 10 childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Texas 35102, 40287, 32854, 29080, 36394, 22024, 22493, 31602, 27434, 40040 Indiana 38446, 33018, 38027, 43504, 37962, 33838, 35730, 36793, 37714, 25715 HD 144Hz Send data to calculator V 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, H₁, of childcare workers in Texas is less than the mean annual income, μ₂, of childcare workers in Indiana? Perform a one-tailed test. Then complete the parts below. Send data to Excel Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) h (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. Explanation Check O Search н |x X O S Р <Q 8 AD W E
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