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STAT 2040
Jeremy Balka

STAT*2040 W12 Test 1 (White Version) February 15 2012 This page is included to satisfy the U of G’s privacy policy. Please fill out your first and last names on this page, but not your ID number or any other information. Last Name: First Name: On the next page, please fill out your name and ID number. University of Guelph Department of Mathematics and Statistics STAT*2040 Statistics I Test 1 (White version) February 15 2012 Examiner: Jeremy Balka This exam is 70 minutes in duration Name: ID: Signature: Please read the instructions: 1. Fill out your name and ID number above. 2. When the examination starts, make sure your question paper is complete. You should have 22 multiple choice questions , along with a formula sheet and standard normal tables. The first question is just a bookkeeping question, and does not count for marks, but please fill it in to ensure your exam is properly graded. 3. Do all rough work on this paper. 4. You are allowed to bring in a calculator, and pens and pencils. 5. There is only one correct answer for each question. Fill in only one bubble for each question. 6. Fill out the computer answer sheet in pencil as you go. There will be no extra time given at the end of the exam to fill in the sheet. 7. The answers given in the exam are often rounded versions of the correct answer. Choose the closest value. 1. The colour of the first page of this examination booklet (the cover sheet) is: (a) White (b) Yellow 2. A study investigated the effect of a regular dose of aspirin on the risk of strokes. Physicians randomly assigned approximately 5,000 volunteers to a group that took an aspirin every second day, and 5,000 to a control group that took a placebo instead. The volunteers were followed for several years, and researchers compared the rate of strokes in the two groups. Consider the following statements. I. This is an experiment, not an observational study. II. The response variable is aspirin use. III. This type of study cannot possibly yield evidence of a causal link between aspirin use and rate of strokes. Which of these statements are true? (a) Just I. (b) I and III. (c) II and III. (d) All of them. (e) None of them. 3. Consider the following sample of 4 observations: ▯8;12;16;31. What is the value of the sample variance? (a) 11 (b) 16 (c) 29 (d) 112 (e) 258 3 of 9 4. If all observations in a data set have 10 added to them, how many of the following quantities would change in value? ▯, s, Q1, IQR, 10th percentile. (a) 1 (b) 2 (c) 3 (d) 4 (e) 5 5. Which one of the following statements is true? (a) For right-skewed distributions, the median is greater than the mean. (b) For mound-shaped distributions, approximately 50% of observations lie within 5 standard deviations of the mean. (c) For any distribution, the interquartile range is equal to 50. (d) If the range of a data set is equal to 0, the variance and IQR will also equal 0. (e) None of the above. 6. A human resources administrator in a large company is interested in estimating the average age of new hires. The administrator looks at an alphabetical list of 200 new hires, and picks the first 30 names on the list. They find the average age of these 30 people is 28.2. Consider the following statements. I. This is an experiment, not an observational study. II. The number 28.2 is a statistic, not a parameter. III. The 30 people represent a simple random sample from the population of interest. Which of these statements are true? (a) Just II. (b) I and II. (c) I and III. (d) II and III. (e) None of them. 4 of 9 7. A new mother and father bring their 2 month old baby in to see their doctor for a check-up. The doctor measures the baby’s length in centimetres, and tells the parents that in terms of length of babies that age, their baby’s z-score is ▯2:0. Which one of the following statements is true? (a) The units of the z-score are centimetres. (b) The baby’s length is 2 centimetres less than the mean length of babies that age. (c) The baby’s length is greater than 50% of babies that age. (d) The baby’s length is 2 standard deviations less than the mean length of babies of that age. 8. Is there a relationship between fatty fish consumption and the rate of prostate cancer? A study followed 6272 Swedish men for 30 years. They were categorized according to their fish consumption, and to whether they developed prostate cancer. The following table summarizes the results. Fish consumption Never/seldom Small Moderate Large Prostate cancer 14 201 209 42 No prostate cancer 110 2420 2769 507 If one of these 6272 men is randomly selected, what is the probability their fish consumption was large or moderate, give
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