MAT 510 - Homework Assignment Homework Assignment 5 Due in Week 6 and worth 30 points The data in below table lists country code and the order to remittance (OTR) time for hardware / software installations for the last 76 installations (from first to last). OTR is the time it takes from an order being placed until the system is installed and we receive payment (remittance). Because this company does business internationally, it also notes the country of installation using a country code. This code is listed in the first column. Table: Country Code and OTR Cycle Time for Software Systems Installation Country Code 1 1 1 1 14 1 1 17 1 1 6 5 5 1 1 7 7 1 17 7 1 8 17 8 7 8 6 6 5 7 Cycle Time 20 24 46 26 38 15 15 23 31 31 64 29 44 32 15 11 14 89 41 41 36 43 21 28 18 47 26 47 9 42 Country Code 5 6 7 8 5 1 7 7 1 1 1 7 1 1 1 14 7 17 6 17 6 7 8 8 7 14 7 1 5 17 Cycle Time 29 40 157 19 24 81 53 26 28 34 34 50 52 19 44 150 29 23 79 13 32 61 42 46 88 24 7 33 129 41 MAT 510 - Homework Assignment 5 6 6 1 7 1 1 1 5 27 27 33 44 21 22 50 17 14 14 7 7 7 5 1 43 42 42 53 53 48 21 19 Use the date in table above and answer the following questions in the space provided below: 1. Does the OTR time appear to be stable? Why or why not? 2. If you were to use a control chart to evaluate stability, which chart would you use? Why? 3. What can you learn about the distribution of the installation process? 4. Does it appear that the country has an impact on installation time? Why or why not? Type your answers below and submit this file in Week 6 of the online course shell: QUESTIONS AND ANSWERS Country Code Cycle Time Country Code Cycle Time 1 20 5 29 1 24 6 40 1 46 7 157 1 26 8 19 14 38 5 24 1 15 1 81 1 15 7 53 17 23 7 26 1 31 1 28 1 31 1 34 6 64 1 34 5 29 7 50 5 44 1 52 1 32 1 19 1 15 1 44 7 11 14 150 7 14 7 29 1 89 17 23 17 41 6 79 7 41 17 13 1 36 6 32 8 43 7 61 17 21 8 42 8 28 8 46 7 18 7 88 8 47 14 24 6 26 7 7 6 47 1 33 5 9 5 129 7 42 17 41 5 5 17 43 6 27 14 42 6 27 14 42 1 33 7 53 7 44 7 53 1 21 7 48 1 22 5 21 1 50 1 19 Use the date in table above and answer the following questions in the space provided below: 1. Does the OTR time appear to be stable? Why or why not? Analyzing the chart above, the OTR time in the chart appears to me as being unstable. The cycle times have a variety of time intervals as a whole and for each Country Code. For example Country code 1 has a range of cycle times between time frames of 15 to 89. In general the table reflected OTR between cycle times of 5 through 150. Thus, reflecting special causes within the entire table and appearing unstable. 2. If you were to use a control chart to evaluate stability, which chart would you use? Why? From a first glance of the table above, I believe the best control chart to depict the table would be a time plot run chart. I believe that the time plot would properly reflect the data of the table accurately (instead of taking a glimpse of the table above and jumping into conclusion of what the table reflects, the time plot enables us to rationally and statistically analyze the cycle time). 3. What can you learn about the distribution of the installation process? As previously mentioned this table reflects special causes, therefore we can learn the variation of the process of the time an order is places until it is installed and payment is received. We can learn this by either generalizing the distribution as whole or by country code, either way we can determine the process has some instabilities, and or flaws of completing the task and receiving money. 4. Does it appear that the country has an impact on installation time? Why or why not? From the table list above, it does not appear as though the country code has an impact on the installation time. It is hard to decipher that since there are special causes in each country, and not enough data for majority of the country codes (but code 1)