Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 pm with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p m. with the meters off resulted in the following speeds (in miles per hour) (aj Uraw side-by-side Duxplois of each data set. Does there appear to be a querence in the speeus/ Are were any ouuers Choose the correct oux piot Delow. О A. On- Off 15 30 MPH 45 60 Q Are there any outliers? G Does there appear to be a difference in the speeds? OA. Yes, the Meters On data appear to have higher speeds. OB. No, the box plots do not show any difference in speeds. OC. Yes, the Meters Off data appear to have higher speeds OA Yes, there appears to be a high outlier in the Meters Off data. OB. Yes, there appears to be a low outlier in the Meters On data. C. Yes, there appears to be a high outlier in the Meters On data On Nn thore dnas not annoar in ho anu nudliare O B. Off- On-T 15 30 45 MPH CIT 60 Q Speed data (in MPH) Ramp Meters On 28 48 55 38 30 24 44 45 51 34 56 43 26 41 48 OC. 30 38 Off- On- 15 Ramp Meters Off 23 26 41 36 35 30 19 47 37 22 41 50 41 30 45 MPH 60 Full Data Set O Q - Х

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 44E
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OD. No, there does not appear to be any outliers.
(b) Are the ramp meters effective in maintaining a higher speed on the freeway? Use the a= 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below.
OA. Ho Hon Hoff
H₁ Hon Hoff
OC. Ho Hon Hoff
H₁-Hon Hoff
Determine the P-value for this test.
OB. Ho Hon Hoff
H₁ Hon >Hoff
OD. Ho Hon Hoff
H₁ Hon > Hoff
P-value = (Round to three decimal places as needed.)
Choose the correct conclusion.
O A. Do not reject Ho. There is sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway.
OB. Reject Ho. There is sufficient evidence at the a=0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway.
OC. Do not reject Ho. There is not sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway
O D. Reject Ho. There is not sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway.
Transcribed Image Text:OD. No, there does not appear to be any outliers. (b) Are the ramp meters effective in maintaining a higher speed on the freeway? Use the a= 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho Hon Hoff H₁ Hon Hoff OC. Ho Hon Hoff H₁-Hon Hoff Determine the P-value for this test. OB. Ho Hon Hoff H₁ Hon >Hoff OD. Ho Hon Hoff H₁ Hon > Hoff P-value = (Round to three decimal places as needed.) Choose the correct conclusion. O A. Do not reject Ho. There is sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway. OB. Reject Ho. There is sufficient evidence at the a=0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway. OC. Do not reject Ho. There is not sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway O D. Reject Ho. There is not sufficient evidence at the a= 0.05 level of significance that the ramp meters are effective in maintaining higher speed on the freeway.
Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars
accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp
meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different
Monday at 6 pm with the meters off resulted in the following speeds (in miles per hour).
(a) Uraw side-by-side Doxplots of each data set Does there appear to be a merence in the speeds? Are there any outlers? Choose the correct Dox plot below.
A.
0
Off
15
30 45 60
MPH
Q
Does there appear to be a difference in the speeds?
A. Yes, the Meters On data appear to have higher speeds.
B. No, the box plots do not show any difference in speeds.
C. Yes, the Meters Off data appear to have higher speeds.
Are there any outliers?
OA. Yes, there appears to be a high outlier in the Meters Off data.
B. Yes, there appears to be a low outlier in the Meters On data.
OC. Yes, there appears to be a high outlier in the Meters On data.
On No there does not annoar to he any outliare
SO B.
Off-
On
15 30
MPH
45
60
Q
O C.
Ramp Meters On
28 48 55
38 30 24
44 45
51
34
56 41
43 26 48
0
Speed data (in MPH)
Off-
On-
15
Ramp Meters Off
23 26 41
35 36 30
47
37
19
30
22
41
38
50
41
30
MPH
45
60
Full Data Set
L
X
Transcribed Image Text:Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 pm with the meters off resulted in the following speeds (in miles per hour). (a) Uraw side-by-side Doxplots of each data set Does there appear to be a merence in the speeds? Are there any outlers? Choose the correct Dox plot below. A. 0 Off 15 30 45 60 MPH Q Does there appear to be a difference in the speeds? A. Yes, the Meters On data appear to have higher speeds. B. No, the box plots do not show any difference in speeds. C. Yes, the Meters Off data appear to have higher speeds. Are there any outliers? OA. Yes, there appears to be a high outlier in the Meters Off data. B. Yes, there appears to be a low outlier in the Meters On data. OC. Yes, there appears to be a high outlier in the Meters On data. On No there does not annoar to he any outliare SO B. Off- On 15 30 MPH 45 60 Q O C. Ramp Meters On 28 48 55 38 30 24 44 45 51 34 56 41 43 26 48 0 Speed data (in MPH) Off- On- 15 Ramp Meters Off 23 26 41 35 36 30 47 37 19 30 22 41 38 50 41 30 MPH 45 60 Full Data Set L X
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