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?
Answer:-
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