Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 4%. A mutual-fund rating agency randomly selects 23 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.54%. Is there sufficient evidence to conclude that the fund has moderate risk at the a =0.05 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: o 0.04. %3D The alternative hypothesis is H;: < 0.04. Calculate the value of the test statistic. x= (Round to three decimal places as needed.)

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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 return is less than 4%. A
mutual-fund rating agency randomly selects 23 months and determines the rate of return for a certain fund. The standard deviation of
the rate of return is computed to be 3.54%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 0.05 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 H,:
0.04.
The alternative hypothesis is H,:
0.04.
Calculate the value of the test statistic.
2 = (Round to three decimal places as needed.)
Transcribed Image Text:Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 4%. A mutual-fund rating agency randomly selects 23 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.54%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 0.05 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 H,: 0.04. The alternative hypothesis is H,: 0.04. Calculate the value of the test statistic. 2 = (Round to three decimal places as needed.)
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