A seafood shop sells salmon fillets where the weight of each fillet is normally distributed with a mean of 1.6 pounds and a standard deviation of 0.3 pounds. Based on this information we can conclude that 90 percent of the fillets weight more than 1.0 pound.

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In a normal distribution, 90% of the data does not fall above 1.0 pound when the mean is 1.6 pounds and the standard deviation is 0.3 pounds. The Z-score for 1.0 pound is approximately -2, which corresponds to about 2.28% of the data below 1.0 pound, meaning about 97.72% of the fillets weigh more than 1.0 pound, not 90%.

A Seafood Shop Sells Salmon Fillets Where the Weight of Each