PRINTABLE VERSION. Quiz 1. True or False: The amount of rainfall in your state last month is an example of continuous data.

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1 Question 1 PRINTABLE VERSION Quiz 1 True or False: The amount of rainfall in your state last month is an example of continuous data. a) True b) False Question 2 True or False: The standard deviation is the square of the variance. a) True b) False Question 3 If a distribution has zero variance, which of the following is true? a) The number of positive values and the number of negative values are equal. b) All the values are positive. c) All the values are negative. d) All the values are equal to each other. Question 4 Which of the following is an example of a data set with 5 values for which the standard deviation is zero. a) 2,2,2,2,2 b) -1,-1,0,1,1 c) 1,2,3,4,5 d) -5,-4,0,3,5 1/5

2 Question 5 If the test scores of a class of 35 students have a mean of 75.3 and the test scores of another class of 26 students have a mean of 65.6, then the mean of the combined group is a) b) c) d) Question 6 Given the first type of plot indicated in each pair, which of the second plots could not always be generated from it? a) histogram, dot plot b) stem and leaf, histogram c) stem and leaf, dot plot d) dot plot, histogram Question 7 A survey was conducted to gather ratings of the quality of service at local restaurants. Respondents rated on a scale of 0 (terrible) to 100 (excellent). The data are represented by the following stem plot. The median response was a) 52 b) 50 c) 51.5 d) 51 Question 8 2/5

3 Calculate the mean, median, mode, range and standard deviation of the data: -5, -3, -3, 8, 10 a) mean = 3.6, median = -5, mode = -3, range = 14, standard deviation = 7.0 b) mean = 1.4, median = -3, mode = -3, range = 15, standard deviation = 7.0 c) mean = 1.4, median = 8, mode = -5, range = 16, standard deviation = 7.0 d) mean = 3.6, median = -3, mode = -3, range = 15, standard deviation = 7.0 e) None of the above Question 9 Calculate the mean, median, mode, range and standard deviation of the data: -84, -20, -20, 42, 110 a) mean = 5.6, median = -20, mode = -20, range = 194, standard deviation = 73.4 b) mean = 18.0, median = -84, mode = -20, range = 193, standard deviation = 73.3 c) mean = 5.6, median = 42, mode = -84, range = 195, standard deviation = 73.4 d) mean = 18.0, median = -20, mode = -20, range = 194, standard deviation = 73.3 e) None of the above Question 10 The boxplots shown below summarize two data sets, I and II. Based on the boxplots, which of the following statements about these two data sets CANNOT be justified? a) The interquartile range of data set I is equal to the interquartile range of data set II. b) Data set I and data set II have the same number of data points. c) The range of data set I is greater than the range of data set II. d) The median of data set I is equal to the median of data set II. Question /5

4 The distribution that has the box plot shown could be described as a) skewed left b) skewed right c) symmetrical d) inconclusive Question 12 The figure below shows a cumulative relative frequency plot of 40 scores on a test given in a Statistics class. Which of the following conclusions can be made from the graph? a) There is greater variability in the lower 20 test scores than in the higher 20 test scores. b) Sixty percent of the students had a test score above 80. c) The median test score is less than /5

5 d) The horizontal nature of the graph for test scores of 60 and below indicates that those scores occurred most frequently. Question 13 The weights of male and female students in a class are summarized in the following boxplots: Which of the following is NOT correct? a) About 50% of the male students have weights between 150 and 185 lbs. b) The female students have more variability than the male students. c) About 25% of the female students have weights more than 128 lbs. d) The median weight of the male students is about 166 lbs. Question 14 Given a data set consisting of 33 unique whole number observations, its five-number summary is: How many observations are less than 41? a) 17 b) 16 c) 40 d) /5

6 Question 1 PRINTABLE VERSION Quiz 2 A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected fish into different containers. How many ways can this be done? a) 420 b) 128 c) 8400 d) 1680 e) 6720 Question 2 An experimenter is randomly sampling 5 objects in order from among 49 objects. What is the total number of samples in the sample space? a) b) c) d) e) Question 3 A person eating at a cafeteria must choose 3 of the 17 vegetables on offer. Calculate the number of elements in the sample space for this experiment. a) 2040 b) 4080 c) /7

7 d) 680 e) 2184 Question 4 How many license plates can be made using 3 digits and 4 letters if repeated digits and letters are allowed? a) b) c) d) e) Question 5 The union of two events A and B is the event that: a) Both A and B occur. b) Either A or B or both occur. c) A and B occur at the same time. d) The intersection of A and B does not occur. e) Either A or B, but not both occur. Question 6 Let A = {3, 8}, B = {8, 12, 22}, D = {34} and S = sample space = A B D. Identify A c. a) {3, 12, 22, 34} b) {3} c) {34} d) {12, 22, 34} 2/7

8 e) {12, 22}. Question 7 Let A = {2, 7}, B = {7, 20, 30}, D = {32} and S = sample space = A B D. Identify B c A. a) {2, 32} b) {2, 20, 30, 32} c) {2, 7, 20, 30} d) {2, 7} e) {2, 7, 32}. Question 8 Let A = {3, 10}, B = {10, 11, 28}, D = {35} and S = sample space = A B D. Identify (A c B c ) c. a) {11} b) {3, 10, 11, 28} c) {3} d) {10} e) {3, 10}. Question 9 Let A = {2, 7}, B = {7, 16, 22}, D = {34} and S = sample space = A B D. Identify A c B. a) {7} b) {2, 16, 22} c) {16, 22} d) {7, 34} e) {7, 16, 22} 3/7

9 . Question 10 In a shipment of 71 vials, only 13 do not have hairline cracks. If you randomly select one vial from the shipment, what is the probability that it has a hairline crack? a) 1 71 b) c) d) e) 1 13 Question 11 Suppose a card is drawn from a deck of 52 playing cards. What is the probability of drawing a 6 or a queen? a) 2 13 b) 1 13 c) 1 4 d) e) 1 26 Question 12 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.3. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Find the probability that a randomly selected person either has high blood pressure or is a runner or both. a) 0.8 b) 0.3 c) /7

10 d) 0.5 e) 0.6. Question 13 In a shipment of 58 vials, only 16 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks? a) b) c) d) e) Question 14 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.3. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Find the probability that a randomly selected person has high blood pressure and is not a runner. a) 0.5 b) 0.2 c) 0.7 d) 0.6 e) 0.4. Question 15 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Select the false statement. a) P(H R c ) = /7

11 b) P(R c H c ) = 0.8 c) H and R are not mutually exclusive. d) H and R are independent events. e) P(R H) = 0.5. Question 16 Hospital records show that 12% of all patients are admitted for heart disease, 26% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. What is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (Note that heart disease is a coronary care issue.) a) 0.34 b) 0.42 c) 0.62 d) 0.30 e) Question 17 Hospital records show that 12% of all patients are admitted for heart disease, 26% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. What is the probability that a randomly selected patient is admitted for something other than coronary care? (Note that heart disease is a coronary care issue.) a) 0.70 b) 0.74 c) 0.84 d) 0.88 e) Question /7

12 Among 7 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the probability that all selected components function properly. a) b) c) d) e) Question 19 Among 9 electrical components exactly one is known not to function properly. If 2 components are selected randomly, find the probability that exactly one does not function properly. a) b) c) d) e) Question 20 Among 6 electrical components exactly one is known not to function properly. If 4 components are randomly selected, find the probability that at least one does not function properly. a) b) c) d) e) /7