A case study was conducted by a manufacturing company, Ace Inc., that specializes in circuit boards used in security devices. The study aims to determine basic math competency of its production line workers. A random sample of 71 production line employees were chosen for the survey and the test data results were collected accordingly. The resulting data also includes whether each employee in the sample took a statistics course or not. Ace would like to examine this data in order to prepare analysis report to the management team.
Statistical Results
1. In this study of test scores and took statistics course, each variable in the sample data is characterized by creating a histogram and pie chart, respectively. According to the “Histogram of Test Scores”, Appendix A(2), the data can be described as normally distributed. The descriptive statistics result for the variable “Test Scores” in Appendix A (1), also indicates that the distribution is symmetric around the mean, with the mean value of 52.6 points and the median 51 points. This shows that the data values appear to be close to the center of the data and that …show more content…
The chart is constructed by dividing the circle into two slices, indicating those who took statistics course (1) or those who do not (0). Each slice is proportional to the percentage share of the total sample count. This value can be used to calculate the proportion of those who took statistics course, Appendix D(2). The pie chart also shows that majority of the employees did not take statistics course (52 ≈ 73 %). Only a small number of employees (19 ≈ 27 %) indicated that they have taken statistics course before taking the basic math competency test. The analysis of this sample data using pie chart is important because it clearly shows the responses with respect to the total number of employees in the