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Name ___________________________________________ BUS271/PSY260 Exam 1 1. Questions 1 through 5 are multiple choice and are worth 1 point, each. 1. Which of the following statements involve descriptive statistics (as opposed to inferential statistics)? a. The Alcohol, Tobacco and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997. b. Based on a survey of 400 magazine readers, the magazine reports that 45% of its readers prefer double column articles. c. The FAA samples 500 traffic controllers in order to estimate the percent retiring due to job stress related illness. d. Based on a sample of 300 professional tennis players, a tennis magazine reported that 25% of the parents of all professional tennis players did not play tennis. 2. The difference between the largest and smallest values in a data set is called the: a. b. c. d. standard deviation. variance. range. mean. 5. 3. The statistic that describes the midpoint of the data which has just as many values above it as below it is known as the sample: a. b. c. d. mean median mode range 4. If an event of interest is labeled “A”, and the probability that A will occur is denoted P(A), then: a. b. c. d. e. the probability that A will not occur is [1 - P(A)]. the probability that A will not occur is the complement of A. the probability is zero if event A is impossible. the probability is one if event A is certain. All of these are true. 5. A student is randomly selected from a class. If Event A = the student is a male and Event B = the student is a female, then Events A and B are: a. b. c. d. mutually exclusive. intersecting. dependent. both A and B. Name ___________________________________________ BUS271/PSY260 Exam 1 Questions 9 through 17 require a short answer. Some of the questions have multiple parts, but each numbered question is worth a total of 3 points. Answer eight of these nine questions. 6. Find the range, median, and mode of the following data: 81, 97, 97, 58, 15, 94. a. Range 82 b. Median 87.5 c. Mode 97 7. Calculate the variance and standard deviation for the following data: 8, 9, 8, 6, 4. Show your work. 8 9 8 6 4 7 7 7 7 7 1 2 1 -1 -3 Sum = Variance = Std. Dev = 1 4 1 1 9 16 16/4 = 4 2 Name ___________________________________________ BUS271/PSY260 Exam 1 8. Look at the table, below, on Project Management Software. If you were summarizing the software prices, which of the measures of central tendency would you use to best represent the data? (Circle one) Mean and standard deviation, or Median and the 5-number summary (minimum, Q1, median, Q2, maximum) Briefly explain why you made your decision. The price of the APECS software is an outlier that has a very large effect on the mean, but almost no effect on the median. 9. Using this data set: 0, 0, 1, 1, 3, 3, 3, 5, 7, 7, 8, compute the values of Q1, Q2, Q3, and the interquartile range. Q1 = 1 Q2 = 3 Q3 = 7 IQR = 6 10. The table below indicates the number of students majoring in different subjects in a college of business: a. What is the probability that a randomly selected student in an accounting major? 11/85 = 0.1294 b. What is the probability that a randomly selected student is either a computer science or a marketing major? 5/85 + 17/85 = 22/85 = 0.2588 a. Name ___________________________________________ BUS271/PSY260 Exam 1 11. I have nine exams to grade, but only have time to grade four of them. Home many different combinations of four exams can I grade? Order does not matter. 9 chose 4 = 126 12. The utility company in Opp found that 80% of its customers pay their monthly bill in full. c. Suppose 2 customers are chosen at random from a list of all the customers. What is the probability that both customers will pay their monthly bill in full? .8 x .8 =.64 d. What is the probability that at least one will pay in full? The easiest way to do this is to compute the probability that no one will pay in full: .2 x .2 = .04 and subtract that value from 1. So, 1 - .04 = .96 13. The population distribution in the United States based on race, ethnicity and blood type as reported by the American Red Cross is portrayed in this table. Blood Type Race/Ethnicity O A B AB Total White 360 322 88 32 802 Black 70 29 25 5 129 Asian 17 12 10 3 42 All others 15 8 3 1 27 Total 462 371 126 41 1000 a. A volunteer walks into a Red Cross office. What is the probability he will be white and have blood type A? P(White and A) = .322 b. What is the probability that an Asian donor will have blood type A or blood type B? (12+10)/42 = .5238 OR .012 + .10 = .022 c. What is the probability a volunteer will be black or have blood type AB? P(Black or AB) = .129 + .041 - .005 = .165