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Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions. Use a 0.05 level of significance. Solution needed like in the pic attached

Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions. Use a 0.05 level of significance. Solution needed like in the pic attached

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions. Use a 0.05 level of significance. Solution needed like in the pic attached
1. Ho u = 45, there is no increase in copies > 45, there is an increase in copies H, 2. a = 0.05 3. One tailed test 4. Critical region t = +2.92, df = 2 5. Test Statistic 47-45 T = = 3.47 www.com 1 √3 6. Decision: Reject Ho 7. Conclusion: The increase in copies in our samples is statistically significant. It is not the result of chance of variation.
Transcribed Image Text:1. Ho u = 45, there is no increase in copies > 45, there is an increase in copies H, 2. a = 0.05 3. One tailed test 4. Critical region t = +2.92, df = 2 5. Test Statistic 47-45 T = = 3.47 www.com 1 √3 6. Decision: Reject Ho 7. Conclusion: The increase in copies in our samples is statistically significant. It is not the result of chance of variation.
A certain printing press is known to turn out an average of 45 copies a minute. In an attempt to increase its output, an alteration is made to the machine, and then in 3 short test runs it turns out 46, 47, and 48 copies a minute. Is this increase statically significant, or is it likely to be simply the result of chance of variation? Use a significance level of 0.05
Transcribed Image Text:A certain printing press is known to turn out an average of 45 copies a minute. In an attempt to increase its output, an alteration is made to the machine, and then in 3 short test runs it turns out 46, 47, and 48 copies a minute. Is this increase statically significant, or is it likely to be simply the result of chance of variation? Use a significance level of 0.05
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