A history teacher assigns letter grades of an E on a test according to the bottom 10%. If scores on the test are normally distributed with a mean of 68 and a standard deviation of 12.5. Find the numerical limits for the Bottom 10%.
Below 52 |
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Below 12.5 |
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Below 68 |
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Below 54 |
Solution :
mean = = 68
standard deviation = = 12.5
Using standard normal table,
P(Z < z) = 10% = 0.10
P(Z < -1.28) = 0.10
z = -1.28
Using z-score formula,
x = z * +
x = -1.28 * 12.5 + 68 = 52
Answer is Below 52
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