Question 602487: Suppose X is subject to normal distribution with the population mean 7, and the standard deviation 2, what are the lower and upper values of X, located symmetrically around the mean, that will include 95% area under the curve?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose X is subject to normal distribution with the population mean 7, and the standard deviation 2, what are the lower and upper values of X, located symmetrically around the mean, that will include 95% area under the curve?
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Draw a normal curve
Let the base be an x-line
Put x= 7 in the middle
Center 95% of the area around the x = 7 point.
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Note: That leaves 2 1/2% on the left end and 2 1/2% on the right end.
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Ans: invNorm(0.025,7,2) = 3.080 and invNorm(0.97.5,7,2) = 10.920
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I used a TI-84 calculator to get those numbers)
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Cheers,
Stan H.
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