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Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly...

Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5%. 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 4.67​%. Is there sufficient evidence to conclude that the fund has moderate risk at the α=0.01 level of​ significance? A normal probability plot indicates that the monthly rates of return are normally distributed.

Calculate the value of the test statistic.

Identify the critical value of the test.

What is the correct conclusion?

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