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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