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?
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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