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The Transportation Security Administration would like to compare the average amount of time it takes passengers...

The Transportation Security Administration would like to compare the average amount of time it takes passengers to pass through airport security at Philadelphia versus Orlando during peak times. A random sample of 25 travelers in Philadelphia spent an average of 14.6 minutes to pass through airport security with a sample standard deviation of 5.8 minutes. A random sample of 27 travelers in Orlando spent an average of 11.5 minutes to pass through airport security with a sample standard deviation of 4.9 minutes.
a. Perform a hypothesis test using α = 0.05 to determine if the average time to pass through security in Philadelphia is more than the average time to pass through security in Orlando.









b. Approximate the p-value for this hypotheses and interpret the results.







c. What assumptions need to be made in order to perform this procedure?




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