An Airline Reservation System First Asks Customers Whether They Want

question 42

Essay

An airline reservation system first asks customers whether they want to schedule a domestic or an international flight. Sixty-five percent of the reservations are for domestic flights. The time distribution of advance sales is also important, and it is given below. $$\begin{array}{l}\begin{array} { | l | c | l | } \hline{ \text { Domestic Flights } } \\\hline \text { Make Reservations } & \text { Rel. Freq. } & \text { RN Range } \\\hline \begin{array} { l } \text { Less than } 1 \text { week } \\\text { in advance }\end{array} & .25 & \\\hline \begin{array} { l } 1 \text { week to } 2 \text { months } \\\text { in advance }\end{array} & .35 & \\\hline \begin{array} { l } \text { Over } 2 \text { months } \\\text { in advance }\end{array} & .40 & \\\hline\end{array}\\\\\begin{array} { | l | c | c | } \hline { \text { International Flights } } \\\hline \text { Make Reservations } & \text { Rel. Freq. } & \text { RNRange } \\\hline \begin{array} { l } \text { Less than } 1 \text { week } \\\text { in advance }\end{array} & .12 & \\\hline \begin{array} { l } \text { 1 week to } 2 \text { months } \\\text { in advance }\end{array} & .35 & \\\hline \begin{array} { l } 2 \text { months to } 6 \text { months } \\\text { in advance }\end{array} & .40 & \\\hline \begin{array} { l } \text { Over } 6 \text { months } \\\text { In advance }\end{array} & .13 & \\\hline\end{array}\end{array}$$ $$\begin{array} { | l | c | l | } \hline { \text { Flight Type } } & \text { Rel. Freq. } & \text { RN Range } \\\hline \text { Domestic } & .65 & \\\hline \text { Interrational } & .35 & \\\hline\end{array}$$
a.Place the appropriate random number ranges in the tables above.
b.Set up and perform a simulation for three customers.Determine whether they want a domestic or international flight, and how far in advance the reservation is being made.Use random numbers from this list: .632 .715 .998 .671 .744 .021

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Definitions:

Sample Variance

A measure of the dispersion or spread of a set of data points around their mean, calculated as the sum of the squared deviations from the mean, divided by the number of observations minus one.

Equal-variances Test

A statistical test used to determine if two or more samples have equal variances.

Unequal Variances Test

A statistical test used when comparing two groups that do not assume the variances of the groups are equal.

Normally Distributed

Describes data that follows a normal distribution characterized by a symmetric bell-shaped curve.