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 = $8750Region 2X2 = $60,00002 = $9125n2 = 41%3Dn1 = 43Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.Choose the correct null and alternative hypotheses below.A. Ho: H1 - H22 8000Ha: H1 - H2 < 8000B. Ho: H1 - H2 = 8000Ha: H1 - H2 # 8000C. Ho: H1 - H2 # 8000Ha: H1 - H2 = 8000Ho: H1 - H2 > 8000Ha: H1 - H2 5 8000O E. Ho: H1 - H2 > 8000Hai H1 - H2 2 8000Ho: H1 - H2 58000Hai H1 - H2>Determine the critical value(s).Zo =(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Answered: Determine the critical value(s). Zo = 0

Math

Statistics

Determine the critical value(s). Zo = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

100%

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
Region 2
X2 = $60,000
02 = $9125
n2 = 41
%3D
n1 = 43
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Choose the correct null and alternative hypotheses below.
A. Ho: H1 - H22 8000
Ha: H1 - H2 < 8000
B. Ho: H1 - H2 = 8000
Ha: H1 - H2 # 8000
C. Ho: H1 - H2 # 8000
Ha: H1 - H2 = 8000
Ho: H1 - H2 > 8000
Ha: H1 - H2 5 8000
O E. Ho: H1 - H2 > 8000
Hai H1 - H2 2 8000
Ho: H1 - H2 58000
Hai H1 - H2>
Determine the critical value(s).
Zo =
(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Expert Solution

Step 1

Let $μ_{1}$ denotes the population mean annual salaries of statisticians in Region 1, and $μ_{2}$ denotes the population mean annual salaries of statisticians in Region 2. The clam of the test is the mean annual salaries of statisticians in Region 1 and Region 2 is more than $8000. The hypothesis is,

Null hypothesis:

$H_{0} : μ_{1} - μ_{2} \leq 8000$

Alternative hypothesis:

$H_{1} : μ_{1} - μ_{2} > 8000$

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