choose which aircraft would be popular, AirNOVA had five passengers try out each one of their aircraft, an Airbus A321

airline company to help them in this competitive market. Literally, they listed PSYC08 as the only requirement to apply. The job is to analyze various data deemed important in the success of the airline and the safety of the passengers. Always make sure to include all relevant descriptive data, assumptions, tests of assumptions, graphs, and explain the results. Miscalculations can have drastic consequences! Compute multiple comparisons as necessary. Make sure to give conclusions and interpretations in plain plane language (terrible joke). After all, these executives and engineers do not understand what all these statistical values mean.

 Question 1. To help choose which aircraft would be popular, AirNOVA had five passengers try out each one of their aircraft, an Airbus A321, an Airbus A319, a Boeing B777, or a Boeing B767. They rated their enjoyment of the flights out of 10. Unfortunately, the last statistician who worked on the data left mid-analysis and the original data was lost. Fill in the missing information and calculate the ANOVA. Make sure to provide a conclusion.  

 𝑆𝑆𝑇𝑜𝑡𝑎𝑙 = 128.9𝑆𝑆𝑇𝑟𝑒𝑎𝑡𝑚𝑒𝑛𝑡 = 5((−1.6)2 + (−0.7)2 + (𝑀𝐼𝑆𝑆𝐼𝑁𝐺)2 + (−0.1)2) 

Question 2a. Our aircraft computer system will monitor engine temperature to ensure they are running correctly. If engine temperature is in the extreme 5% (either too cold or too hot from average running temperature), it will register a warning to the pilots. Of course, due to fluctuations in air temperature, density, and wind speed, as well as the temperature sensor itself, these warning may a mistake. Calculate the probability that on a four-engine plane a temperature warning read-out will be a false alarm. 

Question 2b. AirNOVA is considering changing the sensitivity of the sensors to 1% or 10%. Given the “better to be safe than sorry” philosophy of air travel, what would you recommend to be done. List how changing the sensitivity in either direction will affect false alarms or failing to detect actual issues. 

Question 3. AirNOVA wants to run simulations on their aircraft safety. They have four aircraft (A321, A319, B777, and B767). Rating are between 0 (not safe at all) and 15 (extremely safe). The n for each plane is 10 (N = 40). Provide possible means and weights which will satisfy the requirements of the simulation:

1.      There should be some difference in safety

2.      When doing a linear contrast, one of the contrasts should explain the entire effect while the others explain none

3.      The contrasts should be orthogonal

Note you do not need to test the significance of the contrasts or effect, just give the SS and describe the findings.

Question 4a. Two separate one-way ANOVAs were run, analyzing fuel-efficiency between the Airbus planes and the Boeing planes. Both were statistically significant, each had different dfTreatment. AirNOVA wants to test whether one effect differs significantly from the other. What method could you use to test this? Provide a theoretical explanation to back up your decision. 

Question 4b. What other option could be done if both ANOVAs had the same treatment? 

Question 5. AirNOVA wants to provide a smooth experience for passengers by reducing turbulence. While frightening to passengers, even severe turbulence poses very little risk to an aircraft. AirNOVA tested how turbulence varies across times of day and altitude. Some of the data was lost as engineers are constantly misplacing their notes after each test. Fill in the source table and complete the analysis. SSCells = 78.

Question 8. One problem for passenger comfort is flight time. AirNOVA wants to make sure that over time its passengers are more comfortable than its leading competitor, AirNull. Ten passengers were surveyed, the first five were assigned to an AirNOVA flight and the other five to the competitor’s flight. They were assessed on their comfort (scale of 1-10) over half-hour intervals. Is there a difference across time in comfort, as well as across aircraft type? Is there an interaction? Omnibus findings should be tested with proper post hoc tests.