Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of retum is less than 5%. A mutual-fund rating agency randomly selects 29 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 4.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a=0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is Ho: The alternative hypothesis is H₁: > Calculate the value of the test statistic. x² = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.01 level of significance? Since the P-value is hypothesis. There at the 0.01 level of significance. than the level of significance. the null sufficient evidence to conclude that the fund has moderate risk

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its
monthly rate of retum is less than 5%. A mutual-fund rating agency randomly selects 29
months and determines the rate of return for a certain fund. The standard deviation of the
rate of return is computed to be 4.63%. Is there sufficient evidence to conclude that the
fund has moderate risk at the a=0.01 level of significance? A normal probability plot
indicates that the monthly rates of return are normally distributed.
What are the correct hypotheses for this test?
The null hypothesis is Ho:
The alternative hypothesis is H₁:
Calculate the value of the test statistic.
²=(Round to three decimal places as needed.)
Use technology to determine the P-value for the test statistic.
The P-value is
(Round to three decimal places as needed.)
What is the correct conclusion at the a = 0.01 level of significance?
than the level of significance.
the null
sufficient evidence to conclude that the fund has moderate risk
Since the P-value is
hypothesis. There
at the 0.01 level of significance.
Transcribed Image Text:Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of retum is less than 5%. A mutual-fund rating agency randomly selects 29 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 4.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a=0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is Ho: The alternative hypothesis is H₁: Calculate the value of the test statistic. ²=(Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.01 level of significance? than the level of significance. the null sufficient evidence to conclude that the fund has moderate risk Since the P-value is hypothesis. There at the 0.01 level of significance.
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