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In: Statistics and Probability

6. The distribution of scores on the SAT is approximately normal with a mean of 500...

6. The distribution of scores on the SAT is approximately normal with a mean of 500 and a standard deviation of 100. For the population of students who have taken the SAT…

          A. What percentage have SAT scores greater than 550?

B. What is the minimum SAT score needed to be in the highest 10% of the population?

C. If the state college only accepts students from the top 60% of the SAT distribution, what is the minimum SAT score needed to be accepted?

7. A population has a mean of µ = 45 and a standard deviation of σ = 20. Find the z-score corresponding to each of the following sample means obtained from this population (hint: use the standard error).

          A. mean = 47 for a sample of n = 4 scores

          B. mean = 47 for a sample of n = 100 scores

          C. mean = 40 for a sample of n = 16 score

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orchestra answered 2 years ago
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