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. 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. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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. 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. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.
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