economist wonders in corporate productivity in some countries is more volache than in other countries. One measure of a company A random sample of leading companies in France gave the following percentage yields based on assets. 4.9 5.1 3.1 3.6 2.7 3.5 2.8 4.4 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Verify that the sample variance is s² = 2.032 for this sample of French companies. 5.7 3.4 4.1 Another random sample of leading companies in Germany gave the following percentage yields based on assets. 2.6 3.6 3.6 4.9 5.5 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 1.201 for this sample of German companies. What are the degrees of freedom? df France df Germany Find the upper tail F-critical value. (Use 2 decimal places.) Verify that s² Use Excel to test the if there is a difference in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. (a) Find the value of the F statistic. (Use 2 decimal places.) uctivity is annual percentage yield based on cocal company assets. (b) From the results of the F-test, which test for the difference in means will follow? O Two-sample Test for Difference in Means assuming Equal Variances. O Two-sample Test for Difference in Means assuming Unequal Variances.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.
A random sample of leading companies in France gave the following percentage yields based on assets.
2.7 3.5 2.8
4.9 5.1 3.1 3.6
4.4 5.7 3.4
6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5
Verify that the sample variance is s² = 2.032 for this sample of French companies.
4.1
Another random sample of leading companies in Germany gave the following percentage yields based on assets.
5.5 5.0 5.4 3.2
2.6 3.6 3.6 4.9 5.5
3.5 3.7 2.6 2.8 3.0
3.0 2.2 4.7 3.2
1.201 for this sample of German companies.
Verify that s²
Use Excel to test the if there is a difference in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance.
(a) Find the value of the F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
df France
df Germany
Find the upper tail F-critical value. (Use 2 decimal places.)
(b) From the results of the F-test, which test for the difference in means will follow?
O Two-sample Test for Difference in Means assuming Equal Variances.
O Two-sample Test for Difference in Means assuming Unequal Variances.
Transcribed Image Text:An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets. A random sample of leading companies in France gave the following percentage yields based on assets. 2.7 3.5 2.8 4.9 5.1 3.1 3.6 4.4 5.7 3.4 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Verify that the sample variance is s² = 2.032 for this sample of French companies. 4.1 Another random sample of leading companies in Germany gave the following percentage yields based on assets. 5.5 5.0 5.4 3.2 2.6 3.6 3.6 4.9 5.5 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 1.201 for this sample of German companies. Verify that s² Use Excel to test the if there is a difference in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. (a) Find the value of the F statistic. (Use 2 decimal places.) What are the degrees of freedom? df France df Germany Find the upper tail F-critical value. (Use 2 decimal places.) (b) From the results of the F-test, which test for the difference in means will follow? O Two-sample Test for Difference in Means assuming Equal Variances. O Two-sample Test for Difference in Means assuming Unequal Variances.
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