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exam_II_2007
Course: BIEP 540, Fall 2009School: UMass (Amherst)
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540 PubHlth 2007 Exam II 1 PubHlth 540 - Introductory Biostatistics Fall 2007 Examination II (Topics 4 and 5) Please, please you are NOT allowed to submit more than one solution to a question and ask me to choose the correct one. PHP Program Online Section: Due Date: post mark Monday December 3, 2007 Worcester In-Class Section: Due Date: in-class or post mark Monday December 3, 2007 Instructions: I have a...
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540 PubHlth 2007 Exam II
1
PubHlth 540 - Introductory Biostatistics Fall 2007 Examination II
(Topics 4 and 5)
Please, please you are NOT allowed to submit more than one solution to a question and ask me to choose the correct one.
PHP Program Online Section: Due Date: post mark Monday December 3, 2007 Worcester In-Class Section: Due Date: in-class or post mark Monday December 3, 2007 Instructions: I have a few additional requests to make things easier. Could you please __1. Write your name on every page. Summarize your answers by filling in the table on the next page (page 2). Use additional pages to show me your work. __ 2. Keep a copy of your exam as a "just in case" __ 3. Please do not put your exam into a folder or binder or sleeve. __ 4. Please staple your exam pages together with just one staple if you can; it's a bit awkward to manage several, separate, subsets of stapled portions of one exam.
Address for Mailing
Carol Bigelow School of Public Health/402 Arnold House University of Massachusetts/Amherst 715 North Pleasant Street Amherst, MA 01003-9304
Exam_II_2007.doc
PubHlth 540 2007 Exam II
2
Your name _____________________________________________________ Answer sheet Question 1 10 points 2 10 points 3 10 points 4a 5 points 4b 3 points 4c 2 points 5a 5 points 5b 5 points 6 10 points 7a 5 points 7b 5 points 8 10 points 9a 5 points 9b 5 points 10 10 points Your answer
Do not use (for grading purposes only)
Exam_II_2007.doc
PubHlth 540 2007 Exam II
3
1. (10 points total) Suppose weight is normally distributed with mean =150 pounds and standard deviation =10 pounds. What is a symmetric interval around the mean that includes 68% of all weights?
2. (10 points total) A test has 20 questions. Each question is multiple choice with four possible answers, only one of which is correct. If a student guesses at each question, what is the probability of getting at least 60% correct?
Exam_II_2007.doc
PubHlth 540 2007 Exam II
4
3. (10 points total) Suppose that you just purchased a particular stock. If it can be assumed that its market price goes up or down completely at random (meaning it rises half the time and falls half the time), what is the probability that your stock will show an increase in value every day for ten consecutive days?
4. (10 points total) Recall the definition of the interquartile range, IQR. IQR = P75 P25. (a) (5 points) If Z is distributed standardized normal ( = 0 and = 1), what is the value of IQR? Hint: Solve for P75 P25.
(b) (3 points) If X is distributed normal (mean= and standard deviation = ), what is the value of IQR in standard deviation units? Hint: Solve for the blank in the following expression. IQR = ( ____________)
(c ) (2 points) Using your answer to part "b", what is solution for as a function of IQR? Hint: Solve for the blank in the following expression. = ( __________ ) (IQR)
Exam_II_2007.doc
PubHlth 540 2007 Exam II
5
5. (10 points total) Suppose is it known that 10% of the population is hospitalized at least once during a year. Suppose further that you select at random a sample of 10 for interview. (a) (5 points) What is the probability that all 10 will have been hospitalized at least once during the year?
(b) ( 5 points) What is the probability that at least 3 will have been hospitalized?
6. (10 points total) The distribution of scores on a given test is normal with mean =75 pounds and standard deviation =8. Suppose the instructor decides to give a letter grade of "A" to the 10% of the students who earn the highest grade. What numerical score does a student need in order to earn an "A"?
Exam_II_2007.doc
PubHlth 540 2007 Exam II
6
7. (10 points total) Consider a randomized trial of treatment "Active" versus treatment "Standard" for a given disease. At one clinic, eight out of nine patients were randomized to receive treatment "Active". A complaint is made that randomization must not be working, that = Pr[treatment assignment is "ACTIVE"] cannot be equal to 0.50. (a) (5 points) Under the assumption that randomization is working, calculate the probability of obtaining 8 or more assignments to treatment "Active" out of 9 assignments total.
(b) ( 5 points) Next consider that this is a multi-site randomized trial with 15 sites. Under the assumptions that (1) randomization is working and (2) there are 9 assignments at each of all 15 sites, calculate the probability that there will be more than one site with 8 or more assignments to "Active".
Exam_II_2007.doc
PubHlth 540 2007 Exam II
7
8. (10 points total) A local Cumberland Farms store is concerned that it might have received some counterfeit $20 bills. The store has 100 $20 bi...
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