Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $8000? To decide, you select a random sampleof statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude?Region 1X1 = $67,90001 = $8750n1 = 43Region 2X2 = $60,00002 = $9125%3D%3Dn2 = 41Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.Ha: H1 - H2 < 8000Ha: H1 - H2+ 8000Ha: H1 - H2= 8000O D. Ho: H1 - H2 > 8000Ha: H1 - H2 5 8000F. Ho: H1 - H2 < 8000Ha: H1 - H2 > 8000O E. Ho: H1 - H2 > 8000Ha: H1 - H2 32 8000Determine the critical value(s).Zo = 1.28(Round to two decimal places as needed. Use a comma to separate answers as needed.)Determine the rejection region.Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice.(Round to two decimal places as needed.)z> 1.28В.z<and z>O C. z<Calculate the standardized test statistic for u, - H2.(Round to two decimal places as needed.)

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Description: Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $8000? To decide, you select a random sampleof statisticians from each region. The results of each survey are shown to the right. At a = 0.10, wha

Null hypothesis H0: The difference between mean salaries of statisticians in two regions is $8000 i.e. μ1 - μ2 = 8000 Alternative hypothesis Ha: The difference between mean salaries of statisticians in two regions is more than $8000 i.e. μ1 - μ2 > 8000 Since alternative hypothesis is greater than type, the test is a right tailed test.Level of significance α = 10% = 0.10Critical value of Z at = 10% = 0.10 for right tailed test is 1.28. It is obtained from standard normal tables. Test statistic Z = (x1-x2)-(μ1-μ2)σ12n1+σ22n2 = (67900-60000)-(8000)(8750)243+(9125)241 = 7900-80001780523.26+2030868.9 = -1001952.27871 = - 0.0512 Conclusion: Calculated value of Z = - 0.0512 < Critical value of Z = 1.28 Accept null hypothesis H0 that is the difference between mean salaries of statisticians in two regions is not more than $8000.

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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Chapter11: Data Analysis And Displays

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Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $8000? To decide, you select a random sample
of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude?
Region 1
X1 = $67,900
01 = $8750
n1 = 43
Region 2
X2 = $60,000
02 = $9125
%3D
%3D
n2 = 41
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Ha: H1 - H2 < 8000
Ha: H1 - H2
+ 8000
Ha: H1 - H2
= 8000
O D. Ho: H1 - H2 > 8000
Ha: H1 - H2 5 8000
F. Ho: H1 - H2 < 8000
Ha: H1 - H2 > 8000
O E. Ho: H1 - H2 > 8000
Ha: H1 - H2 3
2 8000
Determine the critical value(s).
Zo = 1.28
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Determine the rejection region.
Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice.
(Round to two decimal places as needed.)
z> 1.28
В.
z<
and z>
O C. z<
Calculate the standardized test statistic for u, - H2.
(Round to two decimal places as needed.)

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