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. LOADING... Direction of Travel Departure Arrival   Mean speed ​(feet per​ minute) 261 268   Standard deviation​ (feet per​ minute) 52 39   Sample size 35 35 Click the icon to view the findings. Do individuals walk at different speeds depending on whether they are departing or arriving at the α=0.05 level of​ significance? Let μ1

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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.
LOADING...
Direction of Travel
Departure
Arrival
 
Mean speed
​(feet per​ minute)
261
268
 
Standard deviation​ (feet per​ minute)
52
39
 
Sample size
35
35
Click the icon to view the findings.
Do individuals walk at different speeds depending on whether they are departing or arriving at the
α=0.05
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​:
μ1>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=nothing
​(Round to three decimal places as​ needed.)
 
Choose the correct conclusion.
 
A.
Reject
H0.
There
is
sufficient evidence at the
α=0.05
level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
 
B.
Reject
H0.
There
is not
sufficient evidence at the
α=0.05
level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
 
C.
Do not reject
H0.
There
is
sufficient evidence at the
α=0.05
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
α=0.05
level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
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