Health Canada wishes to estimate the mean amount of mercury μ, in parts per million (ppm), in commercial fish. Specifically, they want to estimate the value of μ to within 0.03, and be 98% confident in their results. Assume that the amount of mercury in commercial fish varies from one fish to another, the standard deviation being σ=0.4 ppm. How many commercial fish should be randomly chosen, each chosen will have the mercury content measured, to satisfy Health Canadas estimation of μ?

Health Canada wishes to estimate the mean amount of mercury μ, in parts per million (ppm), in commercial fish. Specifically, they want to estimate the value of μ to within 0.03, and be 98% confident in their results. Assume that the amount of mercury in commercial fish varies from one fish to another, the standard deviation being σ=0.4 ppm. How many commercial fish should be randomly chosen, each chosen will have the mercury content measured, to satisfy Health Canadas estimation of μ?

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