stat_book_pset2_spring08 - = 4.8. How high must a student...

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Book Problem Set #2 Circle all of your final answers. Put your name and your section number at the top. #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
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Unformatted text preview: = 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)? 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: 1.98 Explicitly give Tonyas standardized score, rounded to four decimal places. Explicitly give Jermaines standardized score, rounded to four decimal places....
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This note was uploaded on 09/11/2008 for the course PAM 2100 taught by Professor Abdus,s. during the Spring '08 term at Cornell University (Engineering School).

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