9331 I 9? [' 10] A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 350 with a standard deviation of 40 on a standardized test. Assuming a mound-shaped and symmetric distribution, in what range would approximately 99.7% of the students score? 11)ThB speeds of the fastballs thrown by major league baseball pitchers were measured by radar gun. The mean speed was 87 miles per hour. The standard deviation of the speeds was 3 mph. Which of the following speeds would be classified as an outlier? a. 97 mph b. 81 mph c. 92 mph d. 84 mph 12) The following data represent the scores of 50 students on a statistics exam. a. Use MINITAB descriptive statistics to calculate mean and standard deviation. Copy and past the screenshot of the results to yOur assignment. 39 5159 63 66 68 68 69 7O 71 717173 74 76 76 76 77 78 79 79 79 79 80 80 82 83 83 83 85 85 86 86 88 88 88 88 89 89 89 90 90 919192 95 96 97 97 98 b. Construct the following plots using MINITAB: i. Stern and leaf plot ii. Simple Dot plot iii. Histogram with fit 131A sociologist recently conducted a survey of citizens over 60 years of age who have not worth too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured senior citizens were as follows: 68 73 66 76 86 74 6189 65 90 69 92 76 62 8163 68 8170 73 60 87 75 64 82 a. Construct boxplot using MINITAB: i. In a box plot for the data, which scores, if any, would be Outside the outer fences? Which scores, if any, would be outside the inner fences but inside the outer fences? b. Without using MINITAB calculate: What percentage of the scores lies within one standard deviation of the mean? two standard deviations of the mean? Three standard deviations of the mean? Based on these percentages, do you believe that the distribution of scores is mound-shaped and symmetric? Explain E d2l.lambtoncollege.ca Private 9331 I 9? ['3' 14) Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are dened as follows. A: {Both chips are red} B: {At least one of the chips is blue} 3. Identify the sample points in the event/1 U B. b. Find PM U B). 15] The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of a company's success is customer service. A study was conducted to determine the customer satisfaction levels for one overnight shipping business. In addition to the customer's satisfaction level, the customers were asked how often they used overnight shipping. The results are shown in the following table: Satisfaction Level Frequency of Use 1 ligh Medium Low Tota1 5 per month 7'0 25 5 100 Total 461) 221) 211 700 Suppose that one customer who participated in the study is chosen at random. What is the probability that the customer had a medium level of satisfaction and used the company more than ve times per month? 16. Suppose that for a certain experiment P(A) = .33 and P(B) = .29. HA and B are mutually exclusive events, nd PM U B). 17) In a box of 50 markers, 30 markers are either red or black and 20 are missing their caps. If 12 markers are either red or black and are missing their caps, nd the probability that a randomly selected marker is red or black or is missing its cap. 18) For two events, A and B, P(A) = 1/2 , P(B) = 1/3 , and P(A f) B) = 1/4. Find P(B 1A). 191A fast-food restaurant chain with 700 outlets in the United States has recorded the geographic location of its restaurants in the accompanying table of percentages. One restaurant is to be chosen at random from the 700 to test market a new chicken sandwich. Region NE SE sw NW 0.000 3% 6% 3% 0% Population of City 10,000 7 100,000 15% 10% 12% 5% >100,000 20% 4% 1% 21% E d2l.lambtoncollege.ca Private 9:30 I 9? [lj' 1) What number is missing from the table? Grades on test Frequency Relative frequency A 6 024 B 7 C 9 0.36 D 2 008 F l 0.04 2) What characteristics of a Pareto diagram distinguish it from other bar graphs? 3)Table below shows the number of each type of car sols in June. Car Number Compact 7204 Sedan 9089 Small SUV 20418 Large SUV I369] Minivan 15837 Truck l5350 Total 8 [589 a. Construct a relative frequency table for the car sale b. Construct a Pareto diagram for the car sale using he class percentage s the highest of the bar. 4) A survey was conducted to determine how people feel about the quality of programming available on TV. Responders were asked to rate overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem and leaf display of the data is shown below: Ste oo-JChUn-hw 9 3 What percentage of the responders rated overall television quality very good ( regarded as ratings of 80 and above) '? 5) In a distribution that is skewed to the right, what is the relationship of the mean, median, and mode? a. mean > median > mode b. median > mean > mode c. mode > median > mode d. mode > mean > median m The range of scores on a statistics test was 42. The lowest score was 57. What was the highest score? 7)A standardized test has a mean score of 500 points with a standard deviation of 100 points. Five students' scores are shown below. (Adam: 575 Beth: 690 Carlos: 750 Doug: 280 Ella: 440). Which of the students have scores within 8 d2l.lambtoncollege.ca Private 9:30 I 9? 4) A survey was conducted to determine how people feel about the quality of programming available on TV. Responders were asked to rate overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem and leaf display of the data is shown below: Dex-lamb! What percentage of the responders rated overall television quality very good ( regarded as ratings of 80 and above) ? 5) In a distribution that is skewed to the right, what is the relationship of the mean, median, and mode? a. mean > median > mode b. median > mean > mode c. mode > median > mode (1. mode > mean > median is) The range of scores on a statistics test was 42. The lowest score was 57. What was the highest score? nA standardized test has a mean score of 500 points with a standard deviation of 100 points. Five students' scores are shown below. (Adam: 575 Beth: 690 Carlos: 750 Doug: 280 Ella: 440). Which of the students have scores within two standard deviations of the mean? a) At the US. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 98 miles per hour (mph) and the standard deviation of the serve speeds was 9 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 107 mph and 116 mph? 9) Many rms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a rm that just nished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the nal test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 3, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose the trainee in question received a score of 64. Compute the trainee's z-score. E d2l.lambtoncollege.ca Private