SOLUTION: Please show the formula(s) for question given. Given a normal distribution with a mean of 85 and a sample standard deviation of 15, how much of the data should be in the interval

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Question 436238: Please show the formula(s) for question given.
Given a normal distribution with a mean of 85 and a sample standard deviation of 15, how much of the data should be in the interval between 55 and 115? Thank you.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please show the formula(s) for question given.
Given a normal distribution with a mean of 85 and a sample standard deviation of 15, how much of the data should be in the interval between 55 and 115? Thank you.
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z(55) = (55-85)/15 = -30/15 = -2
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z(115) = (115-85)/15 = 30/15 = 2
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P(85< x < 115) = P(-2< z < 2) = 0.9545
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Cheers,
Stan H.
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