Tip metering is amc engineering dee essing 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 ters 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 c day at 6 p.m. with the meters off resulted in the following speeds (in miles per hour) Click the icon to view the data sets. Oraw side-by-side boxplots of each data set. Does there appear to be a difference in the speeds? Are there any outliers? Choose the correct box plot below. A. On- Off 15 30 45 MPH 60 Q s there appear to be a difference in the speeds? Yes, the Meters On data appear to have higher speeds No, the box plots do not show any difference in speeds. Yes, the Meters Off data appear to have higher speeds. here any outliers? Yes, there appears to be a high outlier in the Meters Off data. Yes, there appears to be a low outlier in the Meters On data. OB. Off 15 30 MPH 45 60 Q G Speed data (in MPH) Ramp Meters On 28 48 55 38 30 24 45 51 44 34 56 41 Ramp Meters Off 23 26 41 35 36 30 37 47 19 22 41 30 O C. Off- On- 15 30 45 60 MPH Full Data Set - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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
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.
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.
***
P-value= (Round to three decimal places as needed.)
OB. Ho Hon = Hoff
H₁ Pon > Hoff
O D. Ho Hon Hoff
H₁-Hon > Hoff
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.
O C. 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.
OD. 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: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 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. 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. *** P-value= (Round to three decimal places as needed.) OB. Ho Hon = Hoff H₁ Pon > Hoff O D. Ho Hon Hoff H₁-Hon > Hoff 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. O C. 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. OD. 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 p.m. with the meters off resulted in the following speeds (in miles per hour).
Click the icon to view the data sets.
(a) Draw side-by-side boxplots of each data set. Does there appear to be a difference in the speeds? Are there any outliers? Choose the correct box plot below.
OA.
0
On-
Off-
15
30 45 60
MPH
Q
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.
Are there any outliers?
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.
OB.
0
Off-
On-
15
30
MPH
45
60
Q
Speed data (in MPH)
Ramp Meters On
28 48 55
38 30 24
44
45
51
34 56
41
43
26
48
Ramp Meters Off
23 26 41
35
36 30
47
37
19
30
22 41
38
50
41
O C.
0
Off-
On-
15
30
Full Data Set
MPH
45
-
60
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 p.m. with the meters off resulted in the following speeds (in miles per hour). Click the icon to view the data sets. (a) Draw side-by-side boxplots of each data set. Does there appear to be a difference in the speeds? Are there any outliers? Choose the correct box plot below. OA. 0 On- Off- 15 30 45 60 MPH Q 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. Are there any outliers? 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. OB. 0 Off- On- 15 30 MPH 45 60 Q Speed data (in MPH) Ramp Meters On 28 48 55 38 30 24 44 45 51 34 56 41 43 26 48 Ramp Meters Off 23 26 41 35 36 30 47 37 19 30 22 41 38 50 41 O C. 0 Off- On- 15 30 Full Data Set MPH 45 - 60 X
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