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An airport designer wants to know if passengers walk at the same rate in an airport...

An airport designer wants to know if passengers walk at the same rate in an airport whether they are departing (getting off) a plane or they are arriving (getting on) a plane. A sample of 35 departing passengers has a mean walking speed of 260 feet per minute, with a standard deviation of 53 feet per minute. A sample of 35 arriving passengers has a mean walking speed of 269 feet per minute, with a standard deviation of 34 feet per minute. Using a significance level of 5%, does this data indicate that there is a difference in the walking speeds of departing and arriving passengers?  

Be sure to state the null and alternative hypotheses. Show the computed p-value. State your conclusion about the null hypothesis. And also state your conclusion about the walking speeds of the two groups of passengers.  

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