A mutual fund claims that the standard deviation of their quarterly returns is 25% based on the historical data. An inve

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A mutual fund claims that the standard deviation of their quarterly returns is 25% based on the historical data. An inve

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A mutual fund claims that the standard deviation of their quarterly returns is 25% based on the historical data. An investor wants to verify this claim. He collects the sample returns for the past 35 quarters. The standard deviation based on this sample returns data is 30%. At a 5% level of significance can the investor say that the actual standard deviation of claimed returns is indeed 25%.
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