One Way ANOVA
An airline wishes to assess the amount of money spent on duty free purchases on an international flight by different types of passengers. The airline hires a consultant to conduct an analysis, and the consultant decides to categorize the passengers according to the fare type paid. 6 passengers in each fare category who made duty free purchases were selected at random. The total amounts of their purchases were as follows:
|
Executive First |
Full Economy |
Discount Economy |
|
$78.98 |
$70.56 |
$51.42 |
|
$62.30 |
$58.35 |
$70.33 |
|
$85.03 |
$47.44 |
$62.11 |
|
$72.14 |
$63.89 |
$49.97 |
|
$90.64 |
$67.47 |
$57.72 |
|
$68.52 |
$55.32 |
$65.61 |
T1 = 457.61 T2 = 363.03 T3 = 357.16
a) Construct the analysis of variance table for this data.
b) Is there enough evidence to suggest a difference in the mean expenditures on duty-free purchases
based on the fare category of the passengers? Test your hypotheses with α = 0.05.
c) Use Tukey’s method of paired comparisons (α = 0.05) to identify the significant pairwise differences
between categories.
