Statistical Process Control (Altimeter Data)

Is the production of aircraft altimeters dangerous for those who fly?

The Statopia Altigauage Manufacturing Company produces aircraft altimeters, which provide pilots with readings of their heights above sea level. The accuracy of altimeters is important because pilots rely on them to maintain altitudes with safe vertical clearance above mountains, towers, and tall buildings, as well asvertical separation from other aircraft. The accuracy of altimeter is especially important when pilots fly approaches to landing while not being able to see the ground. In the past, pilots and passengers have been killed in crashes caused by wrong altimeter readings that led pilots to believe that they were safely above the ground when they were actually flying dangerous low. Because aircraft altimeters are so critically important to aviation safely, their accuracy is carefully controlled by Statopia government regulations. According to Statopia Aviation Administration Regulation Part 43, Appendix E, an altimeter must give a reading with an error of no more than 20 ft when tested for an altitude of 1000 ft.

At the Statopia Altigauge Manufacturing Company, four altimeters are randomly selected from production on each of 20 consecutive business days, and the data lists the errors (in feet) when they are tested in a pressure charmer that simulates an altitude of 100 ft. On Day 1, for example, the actual altitude readings for the four selected altimeters are 1002 ft, 992 ft, 1005 ft, and 1011 ft, so the corresponding errors (in feet) are 2,-8,5, and 11.

1. Please construct a control chart for R, based on the current behavior of the process, can we conclude that the process is within statistical control? Justify your answer.
2. Please construct a control chart forX_Bar, based on the current behavior of the process, can we conclude that the process is within statistical control? Justify your answer.

Use Excel Altimeter Data from Mission 16 Module

Use Mission 16 page 8 and page 9 as examples for paper. Make sure the paper include 3 parts

(1) Planning (how you get center line, UCL, LCL, Run chart data)

(2) Statistical Process Control chart

• day 1. 2. 3. 4. 5 6. 7 8 9 10 11 12 13 14 15 16 17 18
• error 1: 2 -5 6 -5 9 16 13 -5 7 15 12 11 18 6 16 8 13 38
• error 2: -8 2 7 5 3 -10 -8 -4 13 7 12 9 15 32 -13 17. 3 -5
• error 3 5 6 -1 -5 -2. -1 -7. 2 -2 19 10 11 23. 4 -9 0 6 -5
• error4: 11. 8 -8 6 -2 -8 2 8 -13 1 9 20 28 10 19 13 13. 5