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By: Bethanie Diffenderfer

Statistical Thinking. By: Bethanie Diffenderfer. To Bibliography. Distributions 200. Find Q uartile 1 and Quartile 3 of the following data: Number of times a person sneezes in a day: 0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,5,5,6. Answer. Distributions 400.

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By: Bethanie Diffenderfer

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  1. StatisticalThinking By: BethanieDiffenderfer To Bibliography

  2. Distributions 200 • Find Quartile 1 and Quartile 3 of the following data: • Number of times a person sneezes in a day: • 0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,5,5,6 Answer

  3. Distributions 400 • Joe Billy Bob is taking a survey for his Statistics class on the ways people get to and from school. His findings show that 56 people ride the bus, 48 people drive themselves, 22 people carpool and 17 students walk. • With the presented data, what would be the best graph to use to display his findings? Answer

  4. Distributions 600 • Describe the shape of the curve: (1) Answer

  5. Distributions 800 A distribution of 6 scores has a median of 21. If there highest score increases 3 points, the median will be? Answer

  6. Distributions 1000 • What are the percentages of the data for the red, red and green, red and green and blue sections of the graph. (2) Answer

  7. Relationships 200 Please explain the process of how to construct a scatter plot. Make sure that you include all points of a graph. (hint: the thing at the top, etc.) Answer

  8. Relationships 400 Describe the correlation of the graph below: (3) Answer

  9. Relationships 600 • There is a strong linear association between the weight of a football player and the time in seconds it takes for that player to run a 100-yard dash. Knowing this. A reasonable value for the correlation r between weight and 100-yard dash time would be: • A: r = 0.8 • B: r = 0 • C: r = -0.8 Answer (4)

  10. Relationships 800 • Which of the following statements about the slope of the least square regression line is true? • A: It has the same sign as the correlation coefficient r • B: The square of the slope equals the proportion of the variation in the response variable that is explained by the explanatory variable. • C: It is unitless Answer (4)

  11. Relationships 1000 • A local community college announces the correlation between college entrance exam grades and scholastic achievement was found to be -1.08. On the basis of this you would tell the college that… • A: The entrance exam is a good predictor of success • B: The exam is a poor predictor of success • C: Students who do best on this exam will be poor students • D: The college should hire a new statistician • E: Students at this school are underachieving Answer

  12. Samples, Surveys, and Experiments 200 • Which of the following statements are true? • A: Random sampling is a good way to reduce response bias. • B: To guard against bias from undercoverage, use a convenience sample. • C: Increasing the sample size tends to reduce survey bias. • D: To guard against nonresponse bias, use a mail-in survey. (4) Answer

  13. Samples, Surveys, and Experiments 400 • You wish to conduct a study to examine how the religious affiliation of a person may influence their opinion about abortions. Which of the following statements about the variable “religion affiliation” is true? • A: It is the explanatory variable and is quantitative • B: It is the response variable and it is categorical • C: It is the explanatory variable and is categorical Answer

  14. Samples, Surveys, and Experiments 600 An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers. The list includes 2,500 Ford buyers, 2,500 GM buyers, 2,500 Honda buyers, and 2,500 Toyota buyers. The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand. Is this an example of a simple random sample? Answer

  15. Samples, Surveys, and Experiments 800 • Which of the following statements are true? • A: A sample survey is an example of an experimental study. • B: An observational study requires fewer resources than an experiment. • C: The best method for investigating causal relationships is an observational study. Answer

  16. Samples, Surveys, and Experiments 1000 Nine hundred (900) high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.7, and the standard deviation was 0.4. What is the margin of error, assuming a 95% confidence level? Answer

  17. Probability 200 A card is drawn randomly from a deck of ordinary playing cards. You win $10 if the card is a spade or an ace. What is the probability that you will win the game? Answer

  18. Probability 400 • On any given day, the probability it will rain is 0.32; the probability the wind will blow is 0.2; and the probability that it will rain and the wind will blow is 0.1. • For a randomly selected day, what is the probability that it will NOT rain and the wind will NOT blow? Answer

  19. Probability 600 Two dice are rolled, find the probability that the sum is equal to 5. Answer

  20. Probability 800 A train is scheduled to leave the station at 3 P.M. However, it is equally likely to actually leave the station any time from 2:55 to 3:15 P.M. What is the probability it will depart the station early? Answer

  21. Probability 1000 Suppose a die is tossed 5 times. What is the probability of getting exactly 2 fours? Answer

  22. Wonder Words 200 What is an inflexion point? Answer (5)

  23. Wonder Words 400 The equation that is used to determine outliers in a set of data. Please state the name and the formula. Answer • (5)

  24. Wonder Words 600 What is a numerical measure of the direction and strength of a linear association? Answer • (5)

  25. Wonder Words 800 What reflects the overall accuracy and correlation of statistical data sample? • (5) Answer

  26. Wonder Words 1000 What is an extraneous variable in statistical mode that correlates with both the dependent and independent variable? Answer • (5)

  27. Distributions 200 Quartile 1: 1 Quartile 3: 4 Game Board

  28. Distributions 400 A bar graph or histogram Game Board

  29. Distributions 600 Skewed Right or Positively Skewed Game Board

  30. Distributions 800 21 Game Board

  31. Distributions 1000 Red: 68% Red and Green: 95% Red, Green, and Blue: 99.7% Game Board

  32. Relationships 200 • Title • X-axis title • Y-axis title • Numerical values for x and y • Dots corresponding to the x and y data values. Game Board

  33. Relationships 400 A weak negative correlation. Game Board

  34. Relationships 600 A: 0.8 • This is because there is a strong linear correlation. As weight increases, time will increase as well making this a strong positive correlation. The closer you get to 1 in correlation the stronger it is. Since it is positive it is a positive number. Game Board

  35. Relationships 800 B: The square of the slope equals the proportion of the variation in the response variable that is explained by the explanatory variable. Game Board

  36. Relationships 1000 D: The college should hire a new statistician Game Board

  37. Samples, Surveys, and Experiments 200 None of them Game Board

  38. Samples, Surveys, and Experiments 400 C: It is the explanatory variable and is categorical Game Board

  39. Samples, Surveys, and Experiments 600 No, because every possible 400-buyer sample did not have an equal chance of being chosen. Game Board

  40. Samples, Surveys, and Experiments 800 None of them Game Board

  41. Samples, Surveys, and Experiments 1000 0.025 Game Board

  42. Probability 200 16/52 or 4/13 Game Board

  43. Probability 400 0.58 Game Board

  44. Probability 600 4/36 or 1/9 Game Board

  45. Probability 800 0.25 Game Board

  46. Probability 1000 0.161 Game Board

  47. Wonder Words 200 It is the point on the curve where the direction of the curve changes from increasing to decreasing or vise versa. Game Board

  48. Wonder Words 400 Inter Quartile Range (Q1 – Q3) x 1.5 Game Board

  49. Wonder Words 600 Least-Square Regression Line Game Board

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