Federal Aviation Administration
In January 2003, the FAA ordered that passengers be weighed before boarding 10-19 seat passenger airplanes. The order was instituted in response to a crash that occurred on January 8, 2003 in Charlotte, North Carolina, in which all 21 passengers, including the pilot and co-pilot, of a 19-seat Beech 1900 turbo-prop died. One possible cause of the crash was that the airplane may have been carrying too much weight.
The airlines were asked to weigh adult passengers and carry-on bags randomly over a one-month period in order to estimate the mean weight per passenger (including luggage). A total of 426 people and their luggage were weighed, and the sample data are contained in the attached data file.
Use appropriate descriptive statics to summarize the variables for the sample data using charts, graphs, numerical measures, etc. Provide an analysis of the data, not just a recitation of the results.
Compare the results. Discuss any specific statistical results that would help the FAA understand passenger and weight data as it applies to this class of passenger aircraft.
Construct and interpret a 95% confidence interval estimate for the mean weight for male passengers.
Construct and interpret a 95% confidence interval estimate for the mean weight for female passengers.
Construct and interpret a 95% confidence interval estimate for the mean weight for all passengers.
Calculate what sample size would be required if the margin of error in the estimate for the mean weight of all passengers, based on the analysis of the sample data that you've done, is to be reduced by half.
Provide a reasonable analysis as to why the order did not include a requirement to weigh checked baggage, and what impact this might have on the analysis of the data.
A detailed statistical analysis has been performed on the given data and the solution includes graphical representation of the data, confidence interval estimates and the statistical analysis report.