(a) Is this an observational study or a designed experiment? Why? O A. This is an observational study since the researcher influenced the data. O B. This is an observational study since the researcher did not influence the data. OC. This is a designed experiment since the researcher did not influence the data. O D. This is a designed experiment since the researcher influenced the data. (b) Explain why it is reasonable to use Welch's t-test. O A. The samples are random, large and dependent. O B. The samples are random, small and independent. OC. The populations are normally distributed. O 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 a = 0.05 level of significance? Let u, represent the mean speed of people departing and u, represent mean speed of people arriving. State the null and alternative hypothesis. O A. Ho: H1 P2 OC. Ho: H1 = H2 O D. Ho: H1 = H2 H,: H > H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) Choose the correct conclusion. O A. Reject Ho. There is sufficient evidence at the a = 0.05 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 = 0.05 level of significance to say that travelers walk different speeds depending on whether they are arriving or departing. OC. Do not reject H,. There is sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing. O D. Reject H. There is not sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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(a) Is this an observational study or a designed experiment? Why?
O A. This is an observational study since the researcher influenced the data.
O B. This is an observational study since the researcher did not influence the data.
O C. This is a designed experiment since the researcher did not influence the data.
O D. This is a designed experiment since the researcher influenced the data
(b) Explain why it is reasonable to use Welch's t-test.
O A. The samples are random, large and dependent.
O B. The samples are random, small and independent.
OC. The populations are normally distributed.
O 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 a = 0.05 level of significance? Let p, represent the mean speed of people departing and u, represent the
mean speed of people arriving.
State the null and alternative hypothesis.
O A. Ho: H1 <H2
O B. H9: H1 = H2
H: H1> H2
OC. Ho: H1 = H2
O D. Ho: H1 = H2
Determine the P-value for this hypothesis test.
P-value = (Round to three decimal places as needed.)
Choose the correct conclusion.
O A. Reject H,- There is sufficient evidence at the a = 0.05 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= 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
OC. Do not reject Ho. There is sufficient evidence at the a = 0.05 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 not sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
Transcribed Image Text:(a) Is this an observational study or a designed experiment? Why? O A. This is an observational study since the researcher influenced the data. O B. This is an observational study since the researcher did not influence the data. O C. This is a designed experiment since the researcher did not influence the data. O D. This is a designed experiment since the researcher influenced the data (b) Explain why it is reasonable to use Welch's t-test. O A. The samples are random, large and dependent. O B. The samples are random, small and independent. OC. The populations are normally distributed. O 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 a = 0.05 level of significance? Let p, represent the mean speed of people departing and u, represent the mean speed of people arriving. State the null and alternative hypothesis. O A. Ho: H1 <H2 O B. H9: H1 = H2 H: H1> H2 OC. Ho: H1 = H2 O D. Ho: H1 = H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) Choose the correct conclusion. O A. Reject H,- There is sufficient evidence at the a = 0.05 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= 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing. OC. Do not reject Ho. There is sufficient evidence at the a = 0.05 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 not sufficient evidence at the a = 0.05 level of significance to say that travelers walk at different speeds depending on whether they are arriving or departing.
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.
E Click the icon to view the findings.
- X
Walking Speed
Direction of Travel
Departure
Arrival
data,
Mean speed
(feet per minute)
Standard deviation
(feet per minute)
Sample size
263
270
49
32
data,
35
35
Print
Done
Transcribed Image Text: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. E Click the icon to view the findings. - X Walking Speed Direction of Travel Departure Arrival data, Mean speed (feet per minute) Standard deviation (feet per minute) Sample size 263 270 49 32 data, 35 35 Print Done
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