SOLUTION: Suppose we have a population of scores with a mean (μ) of 200 and a standard deviation (σ) of 10. Assume that the distribution is normal. Provide answers to the following
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Question 523202: Suppose we have a population of scores with a mean (μ) of 200 and a standard deviation (σ) of 10. Assume that the distribution is normal. Provide answers to the following questions:
What score would cut off the top 5 percent of scores?
What score would cut off the bottom 5 percent of scores?
What score would cut off the top 2.5 percent of scores?
What score would cut off the bottom 2.5 percent of scores?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose we have a population of scores with a mean (μ) of 200 and a standard deviation (σ) of 10. Assume that the distribution is normal. Provide answers to the following questions:
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I'm using a TI-84 to do the calculations:
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What score would cut off the top 5 percent of scores?
Find the z-value with a left tail of 0.95: invNorm(0.95) = 1.645
Find the corresponding score value using x = zs+u
x = 1.645*10 + 200 = 216.45
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What score would cut off the bottom 5 percent of scores?
Same procedure but z = -1.645
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What score would cut off the top 2.5 percent of scores?
invNorm(0.975) = 1.96
Then find the x-score
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What score would cut off the bottom 2.5 percent of scores?
Same procedure but z = -1.96
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Cheers,
Stan H.
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