Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two InternationalAirports. His findings are summarized in the table. Complete parts (a)-(c) below.E Click the icon to view the findings.(Walking SpeedJata.Direction of TravelDepartureArrivalMean speed(feet per minute)Standard deviation257266Jata.4635(feet per minute)Sample size3535PrintDone (a) Is this an observational study or a designed experiment? Why?O A. This is an observational study since the researcher influenced the data.O B. This is an observational study since the researcher did not influence the data.O C. This is a designed experiment since the researcher did not influence the data.O D. This is a designed experiment since the researcher influenced the data(b) Explain why it is reasonable to use Welch's t-test.O A. The samples are random, large and dependent.O B. The samples are random, small and independent.OC. The populations are normally distributed.O D. The samples are random, large and independent.(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a = 0.05 level of significance? Let p, represent the mean speed of people departing and u, represent themean speed of people arriving.State the null and alternative hypothesis.O A. Ho: H1 H2OC. Ho: H1 = H2O D. Ho: H1 = H2Determine the P-value for this hypothesis test.P-value = (Round to three decimal places as needed.)Choose the correct conclusion.O A. Reject H,- There is sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.O B. Do not reject H,. There is not sufficient evidence at the a= 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.OC. Do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.O D. Reject Ho- There is not sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

Question

Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two InternationalAirports. His findings are summarized in the table. Complete parts (a)-(c) below.E Click the icon to view the findings.(Walking SpeedJata.Direction of TravelDepartureArrivalMean speed(feet per minute)Standard deviation257266Jata.4635(feet per minute)Sample size3535PrintDone (a) Is this an observational study or a designed experiment? Why?O A. This is an observational study since the researcher influenced the data.O B. This is an observational study since the researcher did not influence the data.O C. This is a designed experiment since the researcher did not influence the data.O D. This is a designed experiment since the researcher influenced the data(b) Explain why it is reasonable to use Welch's t-test.O A. The samples are random, large and dependent.O B. The samples are random, small and independent.OC. The populations are normally distributed.O D. The samples are random, large and independent.(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a = 0.05 level of significance? Let p, represent the mean speed of people departing and u, represent themean speed of people arriving.State the null and alternative hypothesis.O A. Ho: H1  H2OC. Ho: H1 = H2O D. Ho: H1 = H2Determine the P-value for this hypothesis test.P-value = (Round to three decimal places as needed.)Choose the correct conclusion.O A. Reject H,- There is sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.O B. Do not reject H,. There is not sufficient evidence at the a= 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.OC. Do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.O D. Reject Ho- There is not sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

Accepted Answer

There are two independent samples which are departure and arrival.
We have to test whether…