Viadromes Case Study Descriptive Statistics Analysis - 825 Words

Viadromes Case Study: Descriptive Statistics Analysis (Case Study Sample) Content: Viadrome Case StudyNameInstitutionViadrome Case StudyThe manufacturing process involves the use of various machines. As such, the failure of one machine may hamper the whole process. Therefore, efficient facility managers regularly conduct quality control analysis, in order to monitor the performance of their machines. This analysis presents a case of a facility manager in Michigan at the Viadrome Plant, who was concerned about the quality of measurements during the manufacturing process. The data utilized in the study was sourced from a measurement process, during which 150 upper tracks were measured by two operators, A and B. Several statistical tests are conducted in order to examine the variation in measurements between the two operators. The excel spreadsheet program is used for conducting various tests.Statistical AnalysisDescriptive StatisticsThe following tables show the output summaries for all variables as generated by excelOA OB OAR Mean 0.264667 M ean 0.5852 Mean 0.3598 Standard Error 0.035302 Standard Error 0.041087 Standard Error 0.038052 Median 0.27 Median 0.585 Median 0.35 Mode 0.1 Mode 0.71 Mode 0.25 Standard Deviation 0.43236 Standard Deviation 0.503209 Standard Deviation 0.466044 Sample Variance 0.186935 Sample Variance 0.25322 Sample Variance 0.217197 Kurtosis -0.06798 Kurtosis 0.629609 Kurtosis -0.02203 Skewness -0.02741 Skewness -0.10351 Skewness 0.074945 Range 2.52 Range 3.23 Range 2.31 Minimum -1.04 Minimum -1.14 Minimum -0.71 Maximum 1.48 Maximum 2.09 Maximum 1.6 Sum 39.7 Sum 87.78 Sum 53.97 Count 150 Count 150 Count 150 OA_OB_DIFF OA_OAR_DIFF Mean -0.321533333 Mean -0.0956 Standard Error 0.026262781 Standard Error 0.020158 Median -0.31 Median -0.1 Mode -0.31 Mode -0.16 Standard Deviation 0.321652062 Standard Deviation 0.246885 Sample Variance 0.103460049 Sample Variance 0.060952 Kurtosis -0.132351701 Kurtosis 0.299276 Skewness -0.004367437 Skewness -0.02964 Range 1.68 Range 1.31 Minimum -1.13 Minimum -0.75 Maximum 0.55 Maximum 0.56 Sum -48.23 Sum -14.34 Count 150 Count 150 According to this output, the mean measurements for OA, OB, OAR, OA OB DIFF, and OA OAR DIFF are 0.26, 0.59, 0.36, 0.32, and -0.09 respectively. The standard deviations and range values are useful in examining the extent of variation in measurement for each operator. A significantly large standard deviation value or range value would depict a considerable variation in the measurement of tracks generated by each operator. The descriptive analysis results above imply that the measurements generated by operator B have a greater variation compared to those generated by operator A; the standard deviation and range values for OB 0.50 and 3.23 are larger than those of both OA and OAR. Nevertheless, it is necessary to conduct further analysis on these measurements in order to generate a more conclusive report about the quality control of the machines.Z-TestOA and OB. The Z test is preferred in this case, because the sample size is relatively large. The set of hypotheses generated for the test is as followsH0: 1- 2 = 0H1: 1- 2 0Significance level = 0.05Decision: To reject the null hypothesis if the P value is less than 0.05The table below shows the output for this test OA OB Mean 0.264667 0.5852 Known Variance 0.18 0.25 Observations 150 150 Hypothesized Mean Difference 0 Z -5.98666 P(Z=z) one-tail 1.07E-09 z Critical one-tail 1.644854 P(Z=z) two-tail 2.14E-09 z Critical two-tail 1.959964 Since the P value f...