A random sample of leading companies in South Korea gave the following percentage yields based on assets. 2.4 2.1 4.7 1.9 0.3 3.6 2.4 0.2 1.7 1.8 1.4 5.4 1.1 Use a calculator to verify that s2 ≈ 2.374 for these South Korean companies. Another random sample of leading companies in Sweden gave the following percentage yields based on assets. 2.1 3.3 3.2 1.8 3.3 2.8 2.3 3.5 2.8 Use a calculator to verify that s2 ≈ 0.361 for these Swedish companies. Test the claim that the population variance of percentage yields on assets for South Korean companies is higher than that for companies in Sweden. Use a 5% level of significance. How could your test conclusion relate to an economist's question regarding volatility of corporate productivity of large companies in South Korea compared with those in Sweden? (a) What is the level of significance? (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? dfN dfD
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A random sample of leading companies in South Korea gave the following percentage yields based on assets.
| 2.4 | 2.1 | 4.7 | 1.9 | 0.3 | 3.6 | 2.4 |
| 0.2 | 1.7 | 1.8 | 1.4 | 5.4 | 1.1 |
Use a calculator to verify that s2 ≈ 2.374 for these South Korean companies.
Another random sample of leading companies in Sweden gave the following percentage yields based on assets.
| 2.1 | 3.3 | 3.2 | 1.8 | 3.3 | 2.8 | 2.3 | 3.5 | 2.8 |
Use a calculator to verify that s2 ≈ 0.361 for these Swedish companies.
Test the claim that the population variance of percentage yields on assets for South Korean companies is higher than that for companies in Sweden. Use a 5% level of significance. How could your test conclusion relate to an economist's question regarding volatility of corporate productivity of large companies in South Korea compared with those in Sweden?
(b) Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
| dfN | |
| dfD |
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