Topic 5: Classification and Description of Sample Data - Chapter 6 Homework

Due October 6, 1999

Note for Chap6_data: Go through hyperlink to data file Chap6_data. Save the file as "html" to your floppy disc. Open the file in Excel 97. Save the file as an Excel 97 file. Copy the data for each problem into Minitab and calculate the answers.

1. The annual income in thousands of dollars for a sample of 200 first-year engineers was recorded and the file Chap6_data.

  1. Construct a frequency table of the data
  2. Construct a histogram of the data
  3. Compute the sample range
  4. Compute the sample median
  5. Compute the sample Mode
  6. Compute the sample Skewness
  7. Compute the sample kutosis
  8. Are there better class intervals, which provide a better insight into the data set? If so, illustrate and explain why they are better.

2. The final scores on a statistics exam are stored in file Chap6_data.

  1. Construct a frequency table of the data
  2. Construct a histogram of the data
  3. Compute the sample range
  4. Compute the sample median
  5. Compute the sample Mode
  6. Compute the sample Skewness
  7. Compute the sample kutosis
  8. Is the distribution that governs this data set one of the named distributions that we have studied in this book?

3. The prices of home sold in Beaumont are listed in file Chap6_data.

  1. Construct a frequency table of the data
  2. Construct a histogram of the data
  3. What does the histogram tell you about the prices?
  4. What value would you select as the 75th percentile?
  5. What value would you select as the 95th percentile?

4. Do problem 6.10 from your Barnes textbook

5. In a taste test, 250 people were asked which of the five light beers they preferred. The beers were labeled 1, 2, 3, 4, 5. The opinions are stored in file Chap6_data.

  1. Construct a pie of the data
  2. Construct a bar chart of the data

6. A growing concern at universities and colleges across North America is the number of professors who will retire in the next 5, 10 and 15 years. To examine the problem, Dr. Underdown took a random sample of 1000 professors and recorded their ages. These data are stored in file Chap6_data. Assuming the professors will retire at age 65,

  1. Use graphical methods to discuss the retirement problem facing universities over the next 15 years.

7. In an effort to track the increasing prices of homes in Beaumont, Dr. Underdown took a random sample of homes sold this year and another sample of homes sold five years ago. These data are stored in file Chap6_data.

  1. Use graphical techniques to describe the two sets of data
  2. Discuss similarities and differences between the two data sets

8. The head coach of the Dallas Cowboys football team is trying to decide among three candidates for the position of punter. The coach knows that longer punts are desirable, but so is consistency, the coach has recorded the distance of the last 100 punts for each of the three candidates and stored them in file Chap6_data.

  1. Use graphical techniques to describe the data
  2. Provide the head coach with your recommendations

9. Airlines are rated on a number of dimensions, but for many passengers one of the most important is the frequency and magnitude of late arrivals and departures. Suppose that the amount of time that each departure was behind schedule was recorded for the last 250 departures for each of the 5 airlines and was stored in file Chap6_data.

  1. Present a chart that depicts the comparison of the percentage of late departures (defined as any time greater than 5 minutes behind schedule) for the 5 airlines.
  2. Which airline is best at adhering to its departure schedule?