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國 立 1 0 3 高 學 雄 第 一 科 技 年 度 第 1 學 期 大 統 學 管 理 學 計 學 期 中 會 院 考 暨 財 金 題 目 卷 學 院 ( A ) 1. A researcher at Florida International University (FIU) wants to estimate the average number of credits earned by students last semester at FIU. She randomly selects 750 students from last semester and finds that they averaged 13.75 credits per student. The population of interest to the researcher is: A. all FIU students. B. all college students. C. all FIU students enrolled last semester. D. the 750 FIU students selected at random. 2. For which type of data are the values arbitrary numbers? A. Interval data B. Nominal data C. Ordinal data D. None of these choices. 3. 822 customers were randomly selected from those who had recently bought a book over the Internet. The chart below shows the breakdown of the classification of the book type. What percentage of the books were in the top two categories? A. 22.99 B. 20.44 C. 4.50 D. 43.43 4. Compare the spread of the two histograms below. Which of the following is true? A. Data Set A has a larger spread than Data Set B. B. Data Set A has a smaller spread than Data Set B. C. Data Set A has the same spread as Data Set B. D. You cannot compare the spreads of these histograms without the original data. 1 5. Observations that are measured at successive points in time is what type of data? A. Time-series data B. Cross-sectional data C. Successive data D. None of these choices 6. A CFO is looking at how much of a company's resources are spent on computing. He samples companies in the pharmaceutical industry and develops the stem-and-leaf graph on the right-hand side. What is the smallest percentage spent on R&D? A. 5.9 B. 5.6 C. 5.2 D. 5.02 7. Which of the following statements is true for the following observations: 7, 7, 7, 9, 6, 11, and 13? A. The mean, median and mode are all equal B. Only the mean and median are equal C. Only the mean and mode are equal D. Only the median and mode are equal. 8. The value of the sum of the deviations from the mean, i.e., ∑( x − x) A. C. must always be less than the zero either positive or negative depending on whether the mean is negative or positive B. D. negative zero. 9. A sample of 20 observations has a standard deviation of 3. The sum of the squared deviations from the sample mean is: A. 20 B. 23 C. 29 D. 171 10. Is a standard deviation of 10 a large number indicating great variability, or is it small number indicating little variability? To answer this question correctly, one should look carefully at the value of the: A. mean B. standard deviation C. coefficient of variation D. mean dividing by the standard deviation. 2 11. Which measures of central location and variability are considered to be resistant to extreme values? A. The mean and standard deviation. B. The mode and variance. C. The median and interquartile range. D. None of these choices. 12. Suppose you measure the number of minutes it takes an employee to complete a task, where the maximum allowed time is 5 minutes, and each time is rounded to the nearest minute. Data from 130 employees is summarized below. How long did it take most employees to complete the task? A. 50 minutes B. Time (minutes) 1 2 3 4 5 Frequency 25 50 40 35 30 30 minutes C. 5 minutes 13. The pth percentile is a value such that at least p percent of the observations are A. less than or equal to this value. B. C. more than or equal to this value. D. less than this value. more than this value. 14. The collection of all possible outcomes of an experiment is called: A. a simple event B. a sample a sample space C. 15. If a fair coin is tossed three times, the likelihood of obtaining three heads in a row is A. 0 B. 0.125 C. 0.5 D. 2 minutes D. a population D. 0.875 16. If events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A or event B occurs? A. 0.25 B. 0.50 C. 1.00 D. Cannot be determined from the information given. 3 17. If a fair penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is A. 1/16 B. 1/8 C. 1/2 D. 1 18. If P(A) = 0.6, P(B) = 0.7, and P(A or B) = 0.86, then P(A and B) is: A. 0.12 B. 0.14 C. D. 0.44 19. Suppose P(A) = 0.7, P(B) = 0.8, and A and B are independent. The probability of the event (A and B) is: A. 0.06 B. 0.5 C. 0.56 D. 0.94 20. If P(A) = 0.7, P(B) = 0.6, and P(Ac or Bc) = 0.65, then P(Ac|Bc) is: A. 0.125 B. 0.2 D. 0.8 C. 0.42 0.4 21. Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. X Probability 0 1 2 3 4 0.30 0.33 0.22 0.10 0.05 What is the chance that a family owns less than two cars? A. 0.15 B. 0.37 C. D. 0.63 22. If A and B are any two events with P(A) =0.8, P(B) =0.5 and P(B|Ac) = .7, then P(A and B) is A. 0.14 B. 0.36 C. 0.50 D. 1 23. If A and B are independent events with P(A) = 0.60 and P(B) = 0.70, then P(A or B) equals: A. 0.30 B. 0.42 C. 0.88 D. 0.92 24. Of 6 letters (A, B, C, D, E and F), two letters are to be selected at random. A. 30 B. 15 0.40 How many possible selections are there? C. 6 D. 25. If two events are independent, then A. they must be mutually exclusive C. their intersection must be zero B. D. 4 10 the sum of their probabilities must be equal to one None of these alternatives is correct Answers 1 C 6 C 11 C 16 C 21 D 2 B 7 D 12 D 17 C 22 B 3 D 8 D 13 A 18 D 23 C 4 B 9 D 14 C 19 C 24 B 5 A 10 C 15 B 20 A 25 D 5