MATH 221 Week 1 Homework; Statistics for Decision-Making

1. Question: A recent survey of the alumni of a university indicated that the average salary of 10,000 of its 200,000 graduates was $130,000. The $130,000 would be considered a: 2. Question: Of all DeVry students, a study found that 43% of them are business majors. The 43% would be considered a: 3. Question: The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of: 4. Question: The ages of 20 first graders would be considered: 5. Question: The ratings of 50 movies would be considered: 6. Question: The compensation of all college graduates would be considered: 7. Question: Sixteen students are randomly selected from each grade level at a high school and asked about their eating habits. This sampling technique is called: 8. Question: A researcher obtained a random sample of 100 smokers and a random sample of 100 non-smokers. After interviewing all 200 participants, the researcher compared the rates of depression between the two groups. This study design would be considered: 9. Question: Which of the following would be the mean of this data set: 5, 28, 12, 56, 4, 2, 30, 21 10. Question: Which of the following would be the standard deviation of this sample data set: 67, 54, 30, 77, 92, 41, 75, 81 11. Question: Which of the following would be the variance of this population data set: 3, 6, 8, 9, 4, 5, 7, 1, 9, 7, 5, 4, 3, 1 12. Question: What is the relationship between variance and standard deviation? 13. Question: If data set A has a smaller mean than data set B, what would be different about their distributions? 14. Question: In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 15.6 and 32.4 and why? 15. Question: Which of the following data sets would you expect to have the highest standard deviation? 16. Question: Which data outcome of the speed of cars would best support removing a speed camera? 17. Question: In manufacturing, convenience sampling could be used to determine if the machines are operating correctly. Which of the following best describes this type of sampling? 18. Question: A graph shows a number line with a mark for each data value in the data set above its value. This graphic is most likely to be: 19. Question: Match the terms and their definitions: • Vertical bar chart that shows frequency on the y-axis • A sample where the population is divided into groups and several groups are randomly selected from all from those selected groups are sampled • Collection of all counts that are of interest • A subset or part of a population • A sample where the population is divided into groups and several are randomly sampled form each group • Consists of attributes, labels, or non-numerical entries 20. Question: Match the terms and their definitions: • The most frequent number appearing in a dataset • The average • The percentage of data that falls within 1, 2, or 3 standard deviations of the mean in a symmetrical, bell-shaped distribution • The square root of the variance • Show how far a particular data point is from the mean in terms of the number of standard deviations