SOLUTION: Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 74 and 94, which correspond to z scores (often called th

Question 587095: Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 74 and 94, which correspond to z scores (often called the standardized scores) of -1 and 2.0, respectively. Find the mean and standard deviation of the distribution of raw exam scores. (Use five decimal places in the intermediate calculations. Round your final answers to 4 decimal places.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 74 and 94, which correspond to z scores (often called the standardized scores) of -1 and 2.0, respectively. Find the mean and standard deviation of the distribution of raw exam scores. (Use five decimal places in the intermediate calculations. Round your final answers to 4 decimal places.)
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Use the form x = z*s + u
74 = -1s + u
94 = 2s + u
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Subtract and solve for "s":
3s = 20
s = 20/3
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Solve for "u":
74 = (-20/3) + u
u = 222/3 + 20/3
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u = 242/3 = 80 2/3
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Cheers,
Stan H.
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