A random sample of leading companies in South Korea gave the following percentage yields based on assets (see reference in Problem 7):

Use a calculator to verify that s² = 2.247 for these South Korean companies.

Another random sample of leading companies in Sweden gave the following percentage yields based on assets:

Use a calculator to verify that s² = 0.624 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 that in Sweden?

Please provide the following information.

(a) What is the level of signi­ficance? State the null and alternate hypotheses.

(b) Find the value of the sample F statistic. What are the degrees of freedom?

What assumptions are you making about the original distribution?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

(e) Interpret your conclusion in the context of the application.

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