Practice for Final Exam Name Identify the following variable as either qualitative or quantitative and explain why. 1) The number of people on a jury A) Qualitative because it is not a measurement or a count B) Quantitative because it consists of a count 2) A person's political affiliation A) Quantitative because it consists of a count B) Qualitative because it is not a measurement or a count State whether the actual data are discrete or continuous and explain why. 3) The heights of freshmen at mid western colleges in a given year A) Continuous because the numbers can have any value within some range of values B) Discrete because only counting numbers are used, and no values between the counting numbers are possible 1) 2) 3) Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 4) The temperatures of eight different plastic spheres A) Nominal B) Ratio C) Ordinal D) Interval State whether the actual data are discrete or continuous and explain why. 5) The number of stories for all the skyscrapers in Manhattan A) Continuous because the numbers can have any value within some range of values B) Discrete because only counting numbers are used, and no values between the counting numbers are possible 4) 5) Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 6) Amount of fat (in grams) in cookies A) Ordinal B) Interval C) Nominal D) Ratio 7) The subjects in which college students major A) Interval B) Ratio C) Nominal D) Ordinal 8) Which of the numbers that follow could represent a probability? I. 40 II. -0.2 27 A) both I and II B) neither C) only II D) only I 9) If a die is rolled one time, find the probability of getting a number greater than 1. A) 0 B) 1 C) 2/3 D) 5/6 6) 7) 8) 9) 1
10) If a die is rolled one time, find the probability of getting a number less than 4 and an even number. 10) 11) If a die is rolled one time, find the probability of getting a number less than 4 or an even number. A) 5/6 B) 0 C) 1 D) 1/6 12) A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is yellow? A) 3/8 B) 1 C) 1/3 D) 3/16 13) A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is not blue? A) 5/16 B) 1/5 C) 1/11 D) 11/16 14) In a classroom, the students are 6 boys and 5 girls. If one student is selected at random, find the probability that the student is a girl. A) 6 B) 5 C) 1 D) 5 11 11 5 6 11) 12) 13) 14) 15) Draw a tree diagram to determine the sample space when three coins are tossed. 15) 16) Three coins are tossed. Find the probability that exactly two coins land tails up. 16) 17) Three coins are tossed. Find the probability that all the coins land heads up A) 3/8 B) 1/16 C) 1/8 D) 1/3 17) 18) Three coins are tossed. Find the probability that two or more coins land heads up. 18) 2
19) Three coins are tossed. Find the probability that no more than one coin lands heads up. A) 1/2 B) 5/8 C) 3/8 D) 1/4 19) 20) Three coins are tossed. Find the probability that at least one coin lands heads up. 21) Six balls are numbered 1 through 6 and placed in a box. Two balls are selected without replacement. Find the probability that (a) the sum of the numbers is even. (b) the number on the second ball is less than the number on the first ball. (c) the sum of the numbers on both balls is greater than 5. 20) 21) 22) A single card is drawn from an ordinary 52-card deck. Find the probability of getting a king of diamonds. A) 1/13 B) 1/4 C) 1/52 D) 1/26 23) A single card is drawn from an ordinary 52-card deck. Find the probability of getting an 8. A) 1/26 B) 1/13 C) 1/4 D) 1/52 24) A single card is drawn from an ordinary 52-card deck. Find the probability of getting a club or an 8. A) 1/52 B) 4/13 C) 1/13 D) 1/26 25) A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and an ace. A) 1/26 B) 4/13 C) 1/13 D) 1/52 22) 23) 24) 25) 26) Two dice are rolled. Find the probability of getting a sum of 3 or 8. 26) 27) Two dice are rolled. Find the probability of getting a sum less than or equal to 4. 27) 3
28) Three cable channels (95, 97, and 103) air quiz shows, comedies, and dramas. The numbers of shows aired are shown here. Type of show Channel 95 Channel 97 Channel 103 Quiz show 3 3 7 Comedy 1 5 6 Drama 3 2 5 If a show is selected at random, what is the probability that the show is on Channel 103 or it is a comedy? A) 11 B) 6 C) 8 D) 24 35 7 9 35 28) 29) A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up. A) 1/36 B) 1/6 C) 1/3 D) 1/12 30) Two dice are rolled. Find the probability that the sum was a 9 given that one of the numbers was a 4. A) 2/11 B) 1/12 C) 1/6 D) 1/11 29) 30) 31) The ages of 40 community college students were gathered. Construct a frequency distribution for the data using five classes. 31) 46 17 34 19 42 19 20 48 34 51 31 21 43 32 39 17 21 21 40 38 42 17 21 45 19 39 48 19 17 42 32 19 49 19 26 38 43 46 51 39 32) The following frequency distribution shows for a certain high school the number of freshmen, sophomores, juniors, and seniors who smoke. Construct a pie chart for the data. Rank Frequency Freshmen 14 Sophomores 20 Juniors 31 Seniors 35 33) Find the mode. 22 16 8 14 16 13 14 34 32) 33) 4
34) These data represent the grades on a college exam. Find the mean Class limits Frequency 50-59 5 60-69 8 70-79 19 80-89 16 90-99 10 35) Find the range. 7 40 6 45 26 4 28 46 36) Find the variance and standard deviation. 16 6 14 50 6 46 34) 35) 36) 37) For the 20 test scores shown, find the percentile rank for a score of 86. 75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73 A) 75th percentile B) 80th percentile C) 30th percentile D) 70th percentile 37) 38) For the 8 test scores shown, which score corresponds to a percentile rank of 62.5? 94 23 40 32 64 39 17 54 38) 39) Find Q 1, Q 2, and Q 3 for the data set below. 5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4 A) Q 1 = 2.1, Q 2 = 3.4, Q 3 = 5.0 B) Q 1 = 2.05, Q 2 = 3.1, Q 3 = 5.2 C) Q 1 = 2.05, Q 2 = 3.25, Q 3 = 5.2 D) Q 1 = 2.1, Q 2 = 3.25, Q 3 = 5.0 39) 40) Find the area under the normal distribution curve between z = 0 and z = 1.25. 40) 5
41) Find the area under the normal distribution curve between z = -0.90 and z = 3.05. A) 0.499 B) 0.183 C) 0.316 D) 0.815 41) 42) Find the area under the normal distribution curve to the right of z = 0.35. 42) 43) Find the area under the normal distribution curve to the left of z = 1.50. 43) 44) Use a scatter plot to determine the relationship between the x values and the y values. x 4 2 7 5 3 6 1 y 23 11 35 27 19 33 6 A) No relationship B) Positive linear relationship C) Nonlinear relationship D) Negative linear relationship 45) Use a scatter plot to determine the relationship between the x values and the y values. x 7 2 4 5 1 6 3 y 5 26 20 15 30 12 25 A) Negative linear relationship B) Nonlinear relationship C) No relationship D) Positive linear relationship 44) 45) 46) Find the value for the correlation coefficient r. x 2 7 3 4 5 1 6 y 6 1 5 3 6 12 2 46) 47) Find the value for r and test the significance of r at the 5% level and at the 1% level. x 21 14 18 23 y 9 1 5 11 A) r = 0.995. r is significant at the 5% level, but not at the 1% level B) r = 0.998. r is significant at the 5% level and the 1% level C) r = 0.995. r is significant not significant at the 5% level or the 1% level D) r = 0.998. r is significant at the 5% level, but not at the 1% level 47) 6
48) Find the equation of the regression line. x 2 7 3 4 5 1 6 y 6 1 5 3 6 12 2 49) Find the equation of the regression line. x 21 14 18 23 y 9 1 5 11 50) For the following data (a) Draw a scatter plot. (b) Find the value for r. (c) Test the significance of r at the 5% level and at the 1% level. (d) If r is significant, find the regression line and draw the line on the scatter plot. (e) Describe the nature of the relationship if one exists. (f) Predict y when x = 20. x 4 1 3 2 5 7 6 y 14 6 9 9 17 20 16 48) 49) 50) Obtain the five-number summary for the given data. 51) The test scores of 15 students are listed below. 41 45 51 54 58 60 66 71 72 79 85 87 90 94 95 A) low = 41, lower quartile = 54, median = 71.5, upper quartile = 87, high = 95 B) low = 41, lower quartile = 53.25, median = 71, upper quartile = 85.5, high = 95 C) low = 41, lower quartile = 53.25, median = 71.5, upper quartile = 85.5, high = 95 D) low = 41, lower quartile = 54, median = 71, upper quartile = 87, high = 95 51) 7
Answer Key Testname: FINAL EXAM PRACTICE 1) B 2) B 3) A 4) D 5) B 6) D 7) C 8) B 9) D 10) 1/6 11) A 12) D 13) D 14) B 15) 16) 3/8 17) C 18) 1/2 19) A 20) 7/8 21) (a) 2/5 (b) 1/2 (c) 11/15 22) C 23) B 24) B 25) D 26) 7/36 27) 1/6 28) D 29) B 30) A 8
Answer Key Testname: FINAL EXAM PRACTICE 31) 32) Group Tally Frequency 17-23 15 24-30 1 31-37 5 38-44 11 45-51 8 33) Two modes: 16 and 14 34) 77.60 35) 42 36) variance = 393.2, standard deviation = 19.83 37) D 38) 54 39) D 40) 0.394 41) D 42) 0.363 43) 0.067 44) B 45) A 46) 0.845 47) B 48) y = 10.7 1.4x 49) y = 15.0 + 1.1x 9
Answer Key Testname: FINAL EXAM PRACTICE 50) (a) (b) r = 0.968 (c) r is significant at 5% and at 1% (d) y = 3.9 + 2.3x 51) D (e) A positive linear relationship exists. (f) When x = 20, y is predicted to be about 49.9. 10