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 International Airports. His findings are summarized in the table. Complete parts (a)-(c) below.EEE Click the icon to view the findings.O A. This is an observational study since the researcher influenced the dataWalking SpeedO B. This is a designed experiment since the researcher influenced the data.O C. This is a designed experiment since the researcher did not influence the data.Direction of TravelDeparture251ArrivalO D. This is an observational study since the researcher did not influence the data.Mean speed(feet per minute)Standard deviation(feet per minute)Sample size274(b) Explain why it is reasonable to use Welch's t-test.4538O A. The populations are normally distributed.O B. The samples are random, large and independent3535O C. The samples are random, small and independentO D. The samples are random, large and dependentPrintDone(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a 0.1 level of significance? Let prepresent the mean speed of people departing and H2 represent the mean speed of people arriving.State the null and alternative hypothesis.A. Ho H12H 2O B. Ho H2H 2O D. HoHi H2O C. Ho H2Determine the P-value for this hypothesis testP-value= 0.000 (Round to three decimal places as needed.)Choose the correct conclusion.O A.Reject H. There is not sufficient evidence at the a 0.1 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 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.O C. Do not reject Hn. There is sufficient evidence at the a 0.1 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 sufficient evidence at the a 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

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Asked Oct 21, 2019
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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 International Airports. His findings are summarized in the table. Complete parts (a)-(c) below.
EEE Click the icon to view the findings.
O A. This is an observational study since the researcher influenced the data
Walking Speed
O B. This is a designed experiment since the researcher influenced the data.
O C. This is a designed experiment since the researcher did not influence the data.
Direction of Travel
Departure
251
Arrival
O D. This is an observational study since the researcher did not influence the data.
Mean speed
(feet per minute)
Standard deviation
(feet per minute)
Sample size
274
(b) Explain why it is reasonable to use Welch's t-test.
45
38
O A. The populations are normally distributed.
O B. The samples are random, large and independent
35
35
O C. The samples are random, small and independent
O D. The samples are random, large and dependent
Print
Done
(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a 0.1 level of significance? Let p
represent the mean speed of people departing and H2 represent the mean speed of people arriving.
State the null and alternative hypothesis.
A. Ho H12
H 2
O B. Ho H2
H 2
O D. Ho
Hi H2
O C. Ho H2
Determine the P-value for this hypothesis test
P-value= 0.000 (Round to three decimal places as needed.)
Choose the correct conclusion.
O A.
Reject H. There is not sufficient evidence at the a 0.1 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 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
O C. Do not reject Hn. There is sufficient evidence at the a 0.1 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 sufficient evidence at the a 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
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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 International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. EEE Click the icon to view the findings. O A. This is an observational study since the researcher influenced the data Walking Speed O B. This is a designed experiment since the researcher influenced the data. O C. This is a designed experiment since the researcher did not influence the data. Direction of Travel Departure 251 Arrival O D. This is an observational study since the researcher did not influence the data. Mean speed (feet per minute) Standard deviation (feet per minute) Sample size 274 (b) Explain why it is reasonable to use Welch's t-test. 45 38 O A. The populations are normally distributed. O B. The samples are random, large and independent 35 35 O C. The samples are random, small and independent O D. The samples are random, large and dependent Print Done (c) Do individuals walk at different speeds depending on whether they are departing or arriving at the a 0.1 level of significance? Let p represent the mean speed of people departing and H2 represent the mean speed of people arriving. State the null and alternative hypothesis. A. Ho H12 H 2 O B. Ho H2 H 2 O D. Ho Hi H2 O C. Ho H2 Determine the P-value for this hypothesis test P-value= 0.000 (Round to three decimal places as needed.) Choose the correct conclusion. O A. Reject H. There is not sufficient evidence at the a 0.1 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 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing. O C. Do not reject Hn. There is sufficient evidence at the a 0.1 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 sufficient evidence at the a 0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

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Expert Answer

Step 1

a.

Experimental study: An experimental study is a study, in which the investigator themselves control and manipulate each factor of interest at its different levels and allocates the subjects under study to the different combinations of factors, in order to note its effect on the response variable of interest.

Non-experimental study: A non-experimental study is a study, in which the investigator cannot control or manipulate the factors of interest at their different levels; they cannot allocate the subjects under study to the different combinations of factors, but can simply observe the available information in order to form an idea about their effects on the response variable of interest.

Here, the researcher measured the walking speed of random travellers in the airports. The researcher has not influenced the data. Thus, the study is a non-experimental(observational)study.

Thus, the correct answer is option (D), “This is an observational study since the researcher did not influence the data”.

Step 2

b.

Here, the sample sizes of Departure and Arrival are both 35.

The reason for using Welch’s t-test is that the samples are random and independent, and the sample sizes are greater than 30. That is, .

Thus, the correct answer is option (B), “This is an observational study since the researcher did not influence the data”.

Step 3

c.

The mean speed and standard deviation of the Departure and Arrival are 251, 45 and 274 and 38 respectively. The samples sizes are both 35.

The claim is that “the individuals walk at different speeds depending on whether they are departing or arriving”.

Here, µ1 represent the mean speed of people departing and µ2 represent the mean speed of p...

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