Question: Integrative Application Exercise
This text introduced you to the basics of descriptive statistics. Many of the business application problems, advanced business application problems, and cases will give you practice in performing descriptive statistical analysis. However, too often you are told which procedure you should use, or you can surmise which to use by the location of the exercise. It is important that you learn to identify the appropriate procedure on your own in order to solve problems for test purposes. But more important, this ability is essential throughout your career when you are required to select procedures for the tasks you will undertake. The following exercises will provide you with identification practice.
Excel tutorials The Wood mill Company makes windows and door trim products. The first step in the process is to rip dimension (2 * 8, 2 * 10, etc.) lumber into narrower pieces. Currently, the company uses a manual process in which an experienced operator quickly looks at a board and determines what rip widths to use. The decision is based on the knots and defects in the wood. A company in Oregon has developed an optical scanner that can be used to determine the rip widths. The scanner is programmed to recognize defects and to determine rip widths that will optimize the value of the board. A test run of 100 boards was put through the scanner and the rip widths were identified. However, the boards were not actually ripped. A lumber grader determined the resulting values for each of the 100 boards assuming that the rips determined by the scanner had been made. Next, the same 100 boards were manually ripped using the normal process. The grader then determined the value for each board after the manual rip process was completed. The resulting data, in the file Wood mill, consist of manual rip values and scanner rip values for each of the 100 boards.
a. Develop a frequency distribution for the board values for the scanner and the manual process.
b. Compute appropriate descriptive statistics for both manual and scanner values. Use these data along with the frequency distribution develop din part a to prepare a written report that describes the results of the test. Be sure to include in your report a conclusion regarding whether the scanner outperforms the manual process.
c. Which process, scanner or manual, generated the most values that were more than 2 standard deviations from the mean?
d. Which of the two processes has the least relative variability?