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problemset1

# problemset1 - deviation to two decimal places#2 Consider a...

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PAM 2100 Lecture 1 Instructor: Salam Abdus Problem Set #1 Posted: 9 th September, 2008. Due: 16 th September, Tuesday, 2008, in class, at 1:25 pm Circle all of your final answers. Put your name and your section number at the top. #1) “Conservationists have despaired over destruction of tropical rainforest by logging, clearing, and burning.” These words begin a report on a statistical study of the effects of logging in Borneo. Researchers compared forest plots that had never been logged (Group 1) with similar plots nearby that had been logged 1 year earlier (Group 2) and 8 years earlier (Group 3). All plots were 0.1 hectare in area. Here are the counts of trees for plots in each group: Group 1 27 22 29 21 19 33 16 20 24 27 28 19 Group 2 12 12 15 9 20 18 17 14 14 2 17 19 Group 3 18 4 22 15 18 19 22 12 12 a) Draw a separate stemplot for each group. b) Calculate the means and standard deviations for Group 1. (Round the mean to two decimal places. Use this number to calculate the standard deviation. Round the standard

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Unformatted text preview: deviation to two decimal places.) #2) Consider a data set that includes every whole number from 1 to 113: 1, 2, 3, 4, 5,…. .,111, 112, 113 What is the five-number summary of this data set? #3) The ages of the 667 people participating in a large workshop (to the nearest year) are summarized as follows: Age 18 19 20 21 22 23 24 25 32 Number of students 14 120 200 200 90 30 10 2 1 What is the median age of the workshop participants? #4) The mean of a distribution x is 11 and the standard deviation of x is 7. The distribution 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 a distribution x is 10 and the standard deviation of x is 4. The distribution x is linearly transformed such that x new = a + bx. The mean of x new is 35 and standard deviation of x new is 12. Suppose b is a positive number. What does a equal? What does b equal?...
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