section_problems_1_Problem_Set

# section_problems_1_Problem_Set - #5) ACT scores are...

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PAM 210 Section Problems #1 #1) Consider a data set that includes every whole number from 1 to 119: 1, 2, 3, 4, 5,…. .119 What is the five-number summary of this data set? #2) Consider a data set that includes every whole number from 1 to 102: 1, 2, 3, 4, 5,…. .104, 105, 102 What is the five-number summary of this data set? #3) Test scores are distributed N(610, 110). a) What proportion of students receive score at least 550? 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 550 and 620? Use z-scores that are actually listed in Table A. Round your answer to four decimal places. #4) ACT scores are distributed normally with a mean μ = 25 and a standard deviation σ = 4.2. What score would a student have to achieve in order to score as close as possible to the 80 th percentile (according to Table A)? Use a z-score that is actually listed in Table A. Round your answer to two decimal places.
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Unformatted text preview: #5) ACT scores are distributed normally with a mean = 27 and a standard deviation = 4.0. How high must a student score in order to place in the top 30% 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. #6) The mean of x = 8 and the standard deviation of x = 3. The variable x is linearly transformed such that x new = 5x. What is the mean of x new ? What is the standard deviation of x new ? #7) The mean of x = 6 and the standard deviation of x = 2. The variable x is linearly transformed such that x new = 3x. What is the mean of x new ? What is the variance of x new ? #8) The mean of x = 5 and the standard deviation of x = 2. The variable x is linearly transformed such that x new = a + bx. The mean of x new = 27 and standard deviation of x new = 8. Suppose b is a positive number. What does a equal? What does b equal?...
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## This homework help was uploaded on 02/01/2009 for the course PAM 210 taught by Professor Abdus,s. during the Fall '08 term at Cornell University (Engineering School).

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