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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 2 Region 1 X = $67,900 o1 = $8750 n, = 43 X2 = $60,000 o2 = $9125 n2 = 41

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 2 Region 1 X = $67,900 o1 = $8750 n, = 43 X2 = $60,000 o2 = $9125 n2 = 41

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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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.)
Transcribed Image Text: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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