Final answer:
Without specific pricing data for airline seats, frequency distribution cannot be created, nor can total income be calculated. The mean number of unoccupied seats and sample standard deviation provided cannot be used to calculate mean, median, mode without additional data. Hypothesis testing for railroad's travel distance and ticket class would require a chi-squared test, which cannot be conducted without the actual data.
Step-by-step explanation:
The question requires us to perform several statistical analyses regarding airline seats and passenger travel choices, but due to the lack of specific pricing data for the seat types in the provided information, an exact frequency distribution table cannot be constructed nor can the total income for the airline seats be calculated. However, we can answer conceptually based on the information given about the airline wanting to estimate its mean number of unoccupied seats per flight. With a sample mean of 11.6 and a sample standard deviation of 4.1 for 225 flights, we might typically use these to construct confidence intervals or perform hypothesis testing regarding the airline's unoccupied seats.
As for the railroad's interest in the relationship between travel distance and ticket class purchased, this involves conducting a chi-squared test for independence where the expected values for each category would be computed based on the sample data and then compared against the observed counts to calculate the test statistic and p-value. Unfortunately, without the actual data from Table 11.31, we cannot calculate these values but could provide a conceptual explanation and methodology for the analysis.