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. (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 an observational study since the researcher did not influence the data. D. This is a designed experiment 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 populations are normally distributed. C.The samples are random, large and independent. (c)The samples are random, large and dependent. P-value=____? (Round to three decimal places as needed.) (D)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 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. D. 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.

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Description: 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 Airp

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 8E: List the sample space of each experiment. Picking a one-digit number

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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.

(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 an observational study since the researcher did not influence the data.

D. This is a designed experiment 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 populations are normally distributed.

C.The samples are random, large and independent.

(c)The samples are random, large and dependent.

P-value=____?

(Round to three decimal places as needed.)

(D)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 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.

D. 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.

- X
Walking Speed
Direction of Travel Departure
Mean speed
Arrival
259
272
(feet per minute)
Standard deviation
53
35
(feet per minute)
Sample size
35
35
Print
Done

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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