The Federal Aviation Administration (FAA) would like to determine if the average number of minutes that a plane departs late differs between airports LAX, JFK, and ORD. The following data were collected from randomly selected flights and indicate the number of minutes that each plane was behind schedule at its departure. LAX JEK ORD 2 18 32 12 19 20 5 22 15 24 10 25 3 14 30 12 a) Perform ANOVA using a = 0.025 to determine if there is a difference in the average lateness of the flights from these three airports.
• State the Null and Alternative Hypothesis.
• Calculate and report grand mean (17).
• Calculate and report each location mean (X;).
• State the critical value and its degrees of freedom.
• Please solve the problem by hand and show the calculation steps clearly.
• Please report the final results in the table format as shown in lecture note.
• State your decision and conclusions explicitly.
b) If warranted, perform a multiple comparison test (Tukey-Kramer Procedure) to determine which pairs are different using a = 0.05.
• Compute the critical range for the Tukey-Kramer procedure.
• Please solve the problem by hand and show the calculation steps clearly.
• State your decision and conclusions explicitly.
c) At the 0.05 level of significance, is there evidence of a difference in the "variation" in flights in these three airports.?
• State the Null and Alternative Hypothesis.
• Please solve the problem by hand and show the calculation steps clearly.
• Please report the final results in the table format as shown in lecture note.
• State your decision and conclusions explicitly.