A transportation agency would like to compare the average amount of time it takes passengers to pass through airport security at two locations during peak times. The following table summarizes in minutes the results of two random samples from each airport. Use the table to complete parts a through c. Location 1 Location 2 14.5 11.6 5.5 4.6 Sample mean Sample standard deviation Sample size 24 29 a. Perform a hypothesis test using a = 0.05 to determine if the average time to pass through security in location 1 is more than the average time to pass through security location 2. Assume the population variances for time through security at these two locations are equal. Determine the null and alternative hypotheses for the test. Hoi Hy Hy so H₁ H₁-H₂> 0 Calculate the appropriate test statistic and interpret the result. The test statistic is. (Round to two decimal places as needed.)

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