Question

Hi, having an issue mostly with the P value and the last multiple choice question. But, would like to see your choices. Thank you!

Direction of Travel	Departure	Arrival
Mean speed ​(feet per​ minute)	252	266
Standard deviation​(feet per​ minute)	52	34
Sample size	35	35

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.

1. ​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 did not influence the data.

C.This is a designed experiment since the researcher influenced 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, large and dependent.

B.The samples are​ random, small and independent.

C.The populations are normally distributed.

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

alphaαequals=0.1

level of​ significance? Let

mu 1μ1

represent the mean speed of people departing and

mu 2μ2

represent the mean speed of people arriving.

State the null and alternative hypothesis.

A. Upper H 0H0​:

mu 1 less than mu 2μ1<μ2

Upper H 1H1​:

mu 1 greater than mu 2μ1>μ2

B.

Upper H 0H0​:

mu 1 equals mu 2μ1=μ2

Upper H 1H1​:

mu 1 not equals mu 2μ1≠μ2

C.

Upper H 0H0​:

mu 1 equals mu 2μ1=μ2

Upper H 1H1​:

mu 1 greater than mu 2μ1>μ2

D.

Upper H 0H0​:

mu 1 equals mu 2μ1=μ2

Upper H 1H1​:

mu 1 less than mu 2μ1<μ2

Determine the​ P-value for this hypothesis test.

​P-value equals=

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

Choose the correct conclusion.

A.Reject Upper H 0H0. There sufficient evidence at the alphaαequals=0.10.1

level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

B. Do not reject Upper H 0H0. There is not sufficient evidence at the alphaαequals=0.10.1

level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

C. Do not reject Upper H 0H0. There is

sufficient evidence at the alphaαequals=0.10.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

D. Reject Upper H 0H0. There is not sufficient evidence at the alphaαequals=0.10.1 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

Click to select your answer(s).

Answer 1