MATH 221 Week 1 Homework; Statistics for Decision-Making

1. Question: The age of every fourth person entering a department store. The selected individuals would be considered a: 2. Question: A survey of 1050 students was taken from a university with 19,500 students. The 19,500 would be considered a: 3. Question: Inferential statistics is when sample data is used to: 4. Question: The hair color of the players on a tennis team would be considered: 5. Question: Marriage status (married, single, etc.) of the faculty at a university would be considered: 6. Question: The nationalities (for example, Asian, European, etc.) listed in a recent survey would be considered: 7. Question: Five statistics classes out of 20 are selected and all the students in the selected classes are interviewed. 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 population 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 larger 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 19.8 and 28.2 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 installing a speed bump? 17. Question: In manufacturing, systematic 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 vertical bars with the number of data points on the y-axis and groups on the x-axis. 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