MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Investors commonly use the standard deviation of the monthly percentage return for a mutual fund as a measure of the risk for the fund; in such cases, a fund that has a larger standard deviation is considered more risky than a fund with a lower standard deviation. The standard deviation for a certain fund, referred to as Fund A, and the standard deviation for a second fund, Fund B, were recently reported to be 14.0% and 18.9%, respectively. Assume that each of these standard deviations is based on a sample of 60 months of returns. Do the sample results support the conclusion that the Fund B has a larger population variance than Fund A? (Assume that ? = 0.05.)
State the null and alternative hypotheses.
H0: ?12 ≤ ?22
Ha: ?12 > ?22
H0: ?12 = ?22
Ha: ?12 ≠ ?22
H0: ?12 > ?22
Ha: ?12 ≤ ?22
H0: ?12 ≠ ?22
Ha: ?12 = ?22
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. We can conclude that the Fund B has a greater variance than Fund A.Do not reject H0. We cannot conclude that the Fund B has a greater variance than Fund A. Reject H0. We cannot conclude that the Fund B has a greater variance than Fund A.Do not reject H0. We can conclude that the Fund B has a greater variance than Fund A.
Which fund is more risky?
The more risky fund is .
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