In: Statistics and Probability
****PLEASE include bell shaped curve
The airlines industry measures fuel efficiency by calculating how many miles one seat can travel, whether occupied or not, on one gallon of jet fuel. The following data show the fuel economy, in miles per seat for 17 randomly selected flights on Delta and United. Assume the two population variances for fuel efficiency for the two airline are equal.
Delta .
65.80 |
81.40 |
58.90 |
73.60 |
53.20 |
49.80 |
68.30 |
61.40 |
73.10 |
67.60 |
72.20 |
61.00 |
52.70 |
71.40 |
44.90 |
55.90 |
86.70 |
United
82.10 |
58.80 |
60.00 |
57.90 |
45.20 |
54.30 |
68.40 |
52.00 |
59.60 |
63.10 |
67.40 |
73.30 |
77.20 |
58.00 |
81.10 |
88.50 |
63.00 |
a. Conduct a the 95% confidence interval estimate of the population?
b. Perform a hypothesis test using α = .05 to determine if the average fuel efficiency differs between the two airlines.
c. Determine the p-value and interpret the results.