startegic sourcing course

Chapter 17 Statistical Methods Test Questions 1. What is meant by the phrase: the central tendency of the data? How are these values used? 2. What is meant by the phrase: measures of dispersion? How are these values used? 3. Calculate the mean, mode, and median of the following information: 48.1, 48.2, 48.1, 48.3, 48.4, 48.5, 48.1, 48.3. 4. Calculate the mean, range, and standard deviation of the following numbers: 300, 440, 275, 350. Calculate the mean, range, and standard deviation of these numbers: 350, 470, 300, 360. 5. To create a paper clip, wire is cut to 4 lengths and then formed into the shape we are all familiar with. Use the following information to create a histogram. Show all formulas and appropriate calculations. Frequency Size 3.82 3.94 4.0 4.1 4.2 4.3 int 7 5 4 3 6. Describe how the mean, mode, median, range and standard deviation work together to describe the data presented in a histogram. 7. One of the dimensions measured when filling bottles of olive oil is the depth of the cork in the bottle. Since the depth of the cork in the bottle affects the size of the air gap in the bottle, this dimension is critical. Its specification is 48.5 +/- 0.5 mm. During a recent day, 35 bottles were inspected for the depth of the cork in the bottle. Create and interpret a histogram using the following information. Size Frequency 48.1 2 482 2 48.3 5 48.4 6 48.5 3 48.6 48.7 48.8 5 48.9 0 49.0 1 8. If the mean value of the weight of a particular brand of dog food bag is 20.6 pounds and the standard deviation is 1.3, assume a normal distribution and calculate the percentage of bags that falls below the lower specification value of 19.7 pounds. 9. An air gap exists between fluids in a bottle and the cap of the bottle. At a firm producing olive oil, the gap is critical to the shelf life of their product. If the recent information reveals that the average gap is 9.46 mm with a standard deviation of 0.233, calculate the percentage of product above and below the specification limits of 9.5 +/- 0.5 mm. 10. A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the average monthly sales amount has been $4,532 with a standard deviation of S386. Calculate the percentage of months that the average monthly sales amount exceeds $5,800. Chapter 17 Statistical Methods Test Questions 1. What is meant by the phrase: the central tendency of the data? How are these values used? 2. What is meant by the phrase: measures of dispersion? How are these values used? 3. Calculate the mean, mode, and median of the following information: 48.1, 48.2, 48.1, 48.3, 48.4, 48.5, 48.1, 48.3. 4. Calculate the mean, range, and standard deviation of the following numbers: 300, 440, 275, 350. Calculate the mean, range, and standard deviation of these numbers: 350, 470, 300, 360. 5. To create a paper clip, wire is cut to 4 lengths and then formed into the shape we are all familiar with. Use the following information to create a histogram. Show all formulas and appropriate calculations. Frequency Size 3.82 3.94 4.0 4.1 4.2 4.3 int 7 5 4 3 6. Describe how the mean, mode, median, range and standard deviation work together to describe the data presented in a histogram. 7. One of the dimensions measured when filling bottles of olive oil is the depth of the cork in the bottle. Since the depth of the cork in the bottle affects the size of the air gap in the bottle, this dimension is critical. Its specification is 48.5 +/- 0.5 mm. During a recent day, 35 bottles were inspected for the depth of the cork in the bottle. Create and interpret a histogram using the following information. Size Frequency 48.1 2 482 2 48.3 5 48.4 6 48.5 3 48.6 48.7 48.8 5 48.9 0 49.0 1 8. If the mean value of the weight of a particular brand of dog food bag is 20.6 pounds and the standard deviation is 1.3, assume a normal distribution and calculate the percentage of bags that falls below the lower specification value of 19.7 pounds. 9. An air gap exists between fluids in a bottle and the cap of the bottle. At a firm producing olive oil, the gap is critical to the shelf life of their product. If the recent information reveals that the average gap is 9.46 mm with a standard deviation of 0.233, calculate the percentage of product above and below the specification limits of 9.5 +/- 0.5 mm. 10. A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the average monthly sales amount has been $4,532 with a standard deviation of S386. Calculate the percentage of months that the average monthly sales amount exceeds $5,800