2_Problem_Set

# 2_Problem_Set - Use a z-score that is actually listed in...

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Book Problem Set #2 Circle all of your final answers. #1) Test scores are distributed N(523, 115). a) What proportion of students receive score at least 500? Use a z-score that is actually listed in Table A. Round your answer to four decimal places. b) What proportion of students receive scores between 400 and 620? Use z-scores that are actually listed in Table A. Round your answer to four decimal places. #2) ACT scores are distributed normally with a mean μ = 26 and a standard deviation σ = 4.8. What score would a student have to achieve in order to score as close as possible to the 70 th percentile (according to Table A)? Use a z-score that is actually listed in Table A. Round your answer to two decimal places. #3) ACT scores are distributed normally with a mean μ = 26 and a standard deviation σ = 4.8. How high must a student score in order to place in the top 20% of students taking the ACT test (according to Table A)?
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Unformatted text preview: Use a z-score that is actually listed in Table A. Round your answer to two decimal places. #4) The mean of x = 11 and the standard deviation of x = 7. The variable x is linearly transformed such that x new = 6x. What is the mean of x new ? What is the standard deviation of x new ? #5) The mean of x = 10 and the standard deviation of x = 4. The variable x is linearly transformed such that x new = a + bx. The mean of x new = 35 and standard deviation of x new = 12. Suppose b is a positive number. What does a equal? What does b equal? From book: 1.126 (page 74) Explicitly give Tonya’s standardized score, rounded to four decimal places. Explicitly give Jermaine’s standardized score, rounded to four decimal places. 1.128 (page 74) Round Jose’s standardized score to four decimal places. Use that rounded number to solve for the final answer. Express your final answer to four decimal places....
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