SOLUTION: The birth weight of a certain species of dolphins is normally distributed with a mean weight of 47.4 pounds and a variance of 6.25. We would expect approximately 95% of newborn dol

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Question 1102156: The birth weight of a certain species of dolphins is normally distributed with a mean weight of 47.4 pounds and a variance of 6.25. We would expect approximately 95% of newborn dolphins of that species to weigh between ______ pounds.
Answer by Lightning_Fast(78) About Me  (Show Source):
You can put this solution on YOUR website!
47.4 is the mean weight.
The variance is the standard deviation squared, so 6.25%5E2 is the standard deviation.
Now, 95% of newborn dolphins should weigh within 2 standard deviations of the mean.
So 47.4+-+2%286.25%5E2%29 is they smallest the dolphin should weight
and 47.4+-+2%286.25%5E2%29 is the maximum value the dolphin should weight.
see more about the 68-95-99.7 rule here: So http://www.oswego.edu/~srp/stats/6895997.htm