1. A regional airport authority is investigating passenger wait times at security checkpoints to improve operational efficiency.
The airport authority initially proposes the following investigative question: "Do passengers wait a long time at security?"
Identify one flaw in this investigative question and state a refined investigative question that addresses the flaw, specifies the population, and focuses on a quantitative variable.
To collect data, an airport official suggests recording the wait times of the first 100 passengers who enter the security line on a Tuesday at 5:00 AM.
Identify the sampling method proposed. Explain how this method could introduce bias into the estimate of the mean security wait time for all passengers at this airport, and state the likely direction of the bias.
The authority decides instead to use a stratified random sample of 300 passengers, using the time of day (morning, afternoon, evening) as the strata.
Describe a procedure the airport authority could use to select this stratified random sample.
In a separate study, the airport authority wants to determine if a new automated bin-return system reduces passenger wait times compared to the standard system. They recruit 150 volunteer passengers and randomly assign 75 to use the new automated system and 75 to use the standard system.
Explain why this study design allows the authority to establish a cause-and-effect relationship, and identify the population to which the results of this study can be appropriately generalized.
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