Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 66%. A mutual-fund rating agency randomly selects 2222 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 4.474.47%. Is there sufficient evidence to conclude that the fund has moderate risk at the alpha equals 0.10α=0.10 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 H0: sigmaσ   equals=   0.06.   The alternative hypothesis is H1: sigmaσ   less than<   0.06.   Calculate the value of the test statistic.   chi squaredχ2equals=??? (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
66%.
A mutual-fund rating agency randomly selects
2222
months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be
4.474.47%.
Is there sufficient evidence to conclude that the fund has moderate risk at the
alpha equals 0.10α=0.10
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
H0:
sigmaσ
 
equals=
 
0.06.
 
The alternative hypothesis is
H1:
sigmaσ
 
less than<
 
0.06.
 
Calculate the value of the test statistic.
 
chi squaredχ2equals=???
(Round to three decimal places as needed.)
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