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A mutual fund claims that it produces a minimum return of 7% with a standard deviation of 2%. A portfolio analyst investigates the claim of

A mutual fund claims that it produces a minimum return of 7% with a standard deviation of 2%. A portfolio analyst investigates the claim of the mutual fund and gathers the data of 27 concluding portfolio positions, which resulted in a mean return of 6%. Does the data support the claim of the mutual fund at 1% level of significance?

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