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 International Airports. His findings are summarized in the table. Complete parts ​(a)-(c) below.

Walking Speed

Direction of Travel	Departure	Arrival
Mean speed ​(feet per​ minute)	252	273
Standard deviation​ (feet per​ minute)	54	33
Sample size	35	35

​(a) Is this an observational study or a designed​ experiment? Why?

A.

This is an observational study since the researcher influenced the data.

B.

This is a designed experiment since the researcher influenced the data.

C.

This is a designed experiment since the researcher did not influence the data.

D.

This is an observational study since the researcher did not influence the data.

​(b) Explain why it is reasonable to use​ Welch's t-test.

A.

The samples are​ random, small and independent.

B.

The samples are​ random, large and dependent.

C.

The samples are​ random, large and independent.

D.

The populations are normally distributed.

​(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the α=0.1 level of​ significance? Let μ1 represent the mean speed of people departing and

μ2 represent the mean speed of people arriving.

State the null and alternative hypothesis.

A.

H0​: μ1=μ2

H1​: 2μ1>μ2

B.

H0​: μ1=μ2

H1​: μ1≠μ2

C.

H0​: μ1<μ2

H1​: μ1>μ2

D.

H0​: μ1=μ2

H1​: μ1<μ2

Determine the​ P-value for this hypothesis test.

​P-value=__?__

​(Round to three decimal places as​ needed.)

Choose the correct conclusion.

A.

Reject H0. There is not sufficient evidence at the α=0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

B.

Do not reject H0. There is sufficient evidence at the α=0.1level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

C.

Reject H0.

There is sufficient evidence at the α=0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

D.

Do not reject H0. There is not sufficient evidence at the αequals=0.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

Answer 1