1.Write down the short-hand for these two normal distributions. The Verbal Reasoning section has a distribution N( , ) The Quant
itative Reasoning section has a distribution of N( , ) 2. What is her Z score on the Verbal Reasoning section? 3. What is her Z score on the Quantitative Reasoning section? 4. Relative to others, which section did she do better on? A. Quantitative Reasoning B. She did the same on both sections C. Verbal Reasoning 5. What is her percentile score on the Verbal Reasoning section? Round to nearest whole number. 6. What is her percentile score on the Quantitative Reasoning section? Round to nearest whole number. 7. What percent of the test takers did better than she did on the Verbal Reasoning section? % 8. What percent of the test takers did better than she did on the Quantitative Reasoning section? % 9. What is the score of a student who scored in the 49????ℎ49th percentile on the Quantitative Reasoning section? Round to the nearest integer. 10. What is the score of a student who scored worse than 78% of the test takers in the Verbal Reasoning section? Round to the nearest integer.
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Answer: We are given:
We need to find the z scores for the following vacation expense amounts:
$197, $277, $310
We know that z score formula is:
When , the z score is:
When , the z score is:
When , the z score is:
Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively