SOLUTION: Suppose that Math 103 scores are normally distributed and they have a mean of 80 and a standard deviation of 6. A) Find the Math 103 Score two standard deviations above the mean.

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Question 142014: Suppose that Math 103 scores are normally distributed and they have a mean of 80 and a standard deviation of 6.
A) Find the Math 103 Score two standard deviations above the mean.
B)What percent of all scores is greater than 92?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose that Math 103 scores are normally distributed and they have a mean of 80 and a standard deviation of 6.
A) Find the Math 103 Score two standard deviations above the mean.
The z-score of a data value that is 2 standard deviations above the mean is +2.
Use the formula z(x) = (x-u)/sigma to solve for x:
2 = (x-80)/6
12 = x-80
x = 92
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B)What percent of all scores is greater than 92?
The z-score of 92 is +2. You want P(z > 2)
Use your z-chart to find the answer which is 0.0228 or 2.28%
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Cheers,
Stan H.