An investor wants to compare the risks associated with two different stocks. One

Question

An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stock’s daily price changes.

In an effort to test the claim that the variance in the daily stock price changes for stock 1 is different from the variance in the daily stock price changes for stock 2, the investor obtains a random sample of 21 daily price changes for stock 1 and 21 daily price changes for stock 2. The summary statistics associated with these samples are: n1 = 21, s1 = .848, n2 = 21, s2 = .529.

If you follow Bluman's advice and place the larger variance in the numerator when computing the test value, at the .05 level of significance, what is the critical value associated with this test of hypothesis? Place your answer, rounded to 2 decimal places, in the blank. For example, 3.45 would be a legitimate entry

Explanation / Answer

Ho : sigma ^2 1 = sigma^2 2

Ha :sigma ^2 1 is not equal to sigma^2 2

F = ( 0.529 / 0.848) ^2 = 0.3892

critical value for alpha = 0.05 df1=20 df2 = 20 is 2.12

since F < criticl value we conclude that there is no difference in teh variabtion

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.