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##### Sc 214 Statistical Method Quiz 1 Spring 2014

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Question;Instructions: ? On your scanning sheet, in the top right corner write whether you are completing exam Pink, Yellow or White ? Please write your name and student number on all exam papers, scanning sheets and booklets. ? Place all your material in the envelope and hand in all material (you can keep your cheat sheet). ? You are allowed a one-??page cheat sheet, a formula sheet and a calculator. ? CLEARLY mark your answers on the scanning sheet with an HB pencil. ? Choose the answer closest to the correct answer. 1. Which measure is least sensitive to outliers? a) Mean b) Range c) Minimum and maximum values d) Median 2. One-??cup of blueberries was measured for its levels of the following components: fibre, sugar and protein. It was found that the standard deviation of fibre, sugar and protein was 5 grams for each of the three components. If sugar had the highest relative variation and if protein had the lowest relative variation, which component has the highest mean? a) Sugar b)Protein c) Fibre d) All components have the same mean 3. There are 100 dogs and 100 cats in a vet hospital. Of the dogs, 50 have pet medical insurance. Half of the cats in the vet hospital have pet medical insurance. The events ?dog? and ?pet medical insurance? are: a) Dependent, mutually non-??exclusive b) Dependent, mutually exclusive c) Independent, mutually non-??exclusive d) Independent, mutually exclusive Use the following information for questions 4 -?? 8. 100 dogs and cats were classified by their owners as to what their favorite food formulation is. dry semi-??moist Wet total dogs 5 15 40 60 cats 10 10 20 40 total 15 25 60 100 Using the table, find for a randomly selected pet from this population the probability that a pet: 4. Prefers dry food: a) 0.0500 b)0.0100 \ c)0.1500 d)0.3500 \ e) 0.6000 5. Prefers wet food given that the pet is a cat: a) 0.3333 b) 0.4000 c) 0.5000 d) 0.6000 6. Prefers semi-??moist food or is a dog: a) 0.1500 b) 0.2500 c) 0.6000 d) 0.7000 e) 0.8500 7. Prefers dry food and is a cat: a) 0.0500 b) 0.1000 c) 0.2500 d) 0.6667 8. Prefers dry or wet food given that the pet is a dog. a) 0.3333 b) 0.4500 c) 0.6667 d) 0.7500 Use the following information to answer questions 9 ? 12. The following table gives the frequency of time it takes to drink an extra large coffee by a sample of 100 people. Time (in minutes) Frequency 0 to less than 5 5 5 to less than 10 15 10 to less than 15 20 15 to less than 20 30 20 to less than 25 30 9. The width of each class for this frequency table is: a) 4 b) 5 c) 5.5 d) 6 10. The midpoint of the second class is: a) 7 b) 7.5 c) 8 d) 8.5 11. The sample size is: a) 5 b) 50 c) 100 d) 1000 12. What is the relative frequency of people who take 15 minutes or more to drink an extra large coffee? a) 0.03 b) 0.30 c) 0.60 d) 30 e) 60 Use this sample data to answer questions 13 ? 18. 10 13 15 17 19 23 27 29 13. What is the 80th percentile (P80)? a) 6.4 b) 7 c) 23 d) 25 e) 27 14. The median of this data is: a) 4 b) 4.5 c) 5 d) 17 e) 18 f) 19 15. The first quartile of this data is: a) 2 b) 2.5 c) 3 d) 13 e) 14 f) 15 16. The Interquartile Range of this data is: a) 4 b) 9 c) 10 d) 11 e) 12 17. What is the mean of this sample data? a) 3.6 b) 8 c) 19.1 d) 153 18. The percentile rank of 15 is: a) 15% b) 25% c) 37.5% d) 40% 19. It is known that swimmers have a mean of 96 seconds to swim a 100 metre freestyle race with a standard deviation of 10 seconds. Approximately what percentage swimmers will take less than 111 seconds but more than 81 seconds to finish the race? a) 2% b) 8% c) 22% d) 44% e) 56% f) 84% g) 96% 20. You collect data on the average amount of time per weekend parents watch their kids at a swim meet. It is known that the average amount of time is 5.6 hours for the population of parents. When collecting your sample, you ask 10 parents and find an average of 6.5 hours. The difference between 6.5 and 5.6 hours is an example of: a) sampling error b) convenience sampling c) non sampling error d) representative sampling 21. You are a robber and you have stolen a bankcard. You know the first two numbers of the four digit PIN are 1 and 1. You have one try to guess the remaining two PIN digits. If you are incorrect the bank machine will confiscate the bankcard. What is the probability that you will be able to access the bank account by guessing the remaining two digits of the four-??digit code (digits are 0 through 9)? a) 0.0000 b) 0.0001 c) 0.0010 d) 0.0100 22. You sample one hundred different people to see if they are going to watch the Super Bowl football game this weekend or not. The data you have collected is an example of a: a) quantitative variable b) quantitative, discrete variable c) quantitative, continuous variable d) qualitative variable e) qualitative, discrete variable f) qualitative, continuous variable 23. An example of a quantitative discrete variable is: a) Time it takes for 20 runners to run a marathon b) Number of runners participating in different marathons in Canada c) Gender of runners participating in different marathons in Canada d) Running speed of 30 runners participating in the Saskatoon marathon Use the following information to answer questions 24 ? 26. The following table gives the frequency of the time to write a 140 character tweet by a sample of 50 students. Time (minutes) Frequency 0 to less than 1 10 1 to less than 2 10 2 to less than 3 10 3 to less than 4 20 24. The mean of this data is: a) 0.567 b) 2.300 c) 12.50 d) 25.00 e) 28.75 25. The standard deviation of this data is: a) 0.50 b) 0.85 c) 1.18 d) 1.36 26. The midpoint of the first class is: a) 0 b) 0.5 c) 1 d) 10 e) 20 Use the following information to answer questions 27 -?? 28. There is a game in which there are 5 pennies, 5 nickels, 5 dimes and 5 quarters placed under cups on a table in random order. If you pick three cups in a row that contain a penny, you will win the game. You have taken two cups away from the lineup of cups and both of the cups had pennies underneath. 27. Of the remaining cups, what is the probability that the 3rd cup that you chose will also have a penny under it? a) 0.1250 b) 0.1667 c) 0.2500 d) 0.5000 28. What is the probability that you win the game? a) 0.0088 b) 0.0156 c) 0.1500 d) 0.6272 Use the following information to answer question 29. Leaf unit = 1.0 0 -?? 2 1 * 0 * 7 3 -?? 5 1 * 2 * 6 6 -?? 8 4 * * 3 29. What set of raw data does the stem-??and-??leaf diagram represent? a) 1, 10, 17, 31, 42, 56, 64, 70, 83 b) 1, 10, 27, 31, 42, 56, 64, 83 c) 1, 0, 7, 31, 32, 36, 64, 60, 63 d) 1, 10, 17, 31, 32, 56, 64, 83 30. It is known that the amount of time to wash a vehicle in an automatic car wash has a bell shaped distribution with a mean of 8 minutes and a standard deviation of 1 minute. What would the interval be for 95% of the cars to be washed? a) 0 to 10 minutes b)6 to 10 minutes c) 7 to 9 minutes d) 8 to 10 minutes

Paper#61770 | Written in 18-Jul-2015

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