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). E Click the icon to view the data sets. B. Off- Off- On On On- 30 45 MPH 30 45 MPH 60 30 45 MPH 60 L Does there appear to be a difference in the speeds? O A. Yes, the Meters Off data appear to have higher speeds. O B. No, the box plots do not show any difference in speeds. C. Yes, the Meters On data appear to have higher speeds. Are there any outliers? A. No, there does not appear to be any outliers. O B. Yes, there appears to be a low outlier in the Meters On data. O C. Yes, there appears to be a high outlier in the Meters On data. OD. Yes, there appears to be a high outlier in the Meters Off data. (b) Are the ramp meters effective in maintaining a higher speed on the freeway? Use the a = 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho Hon Hof H, Hon Hoff OB. HoHon Hoff HPon * Hoff C. Ho Fon Hoff H Hon Hoff OD. HOHO Hoff H1 Hon Hoff Determine the P-value for this test. P-value = 0.059 (Round to three decimal places as needed.) Choose the correct conclusion. O A. Reject Ho- There is not sufficient evidence at the a = 0.01 level of significance that the ramp meters are effective in maintaining higher speed on the freew O B. Reject Ho- There is sufficient evidence at the a = 0.01 level of significance that the ramp meters are effective in maintaining higher speed on the freeway. OC. Do not reject Hn- There is not sufficient evidence at the a= 0.01 level of significance that the ramp meters are effective in maintaining higher speed on th freeway. O D. Do not reject H. There is sufficient evidence at the a = 0.01 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). E Click the icon to view the data sets. B. Off- Off- On On On- 30 45 MPH 30 45 MPH 60 30 45 MPH 60 L Does there appear to be a difference in the speeds? O A. Yes, the Meters Off data appear to have higher speeds. O B. No, the box plots do not show any difference in speeds. C. Yes, the Meters On data appear to have higher speeds. Are there any outliers? A. No, there does not appear to be any outliers. O B. Yes, there appears to be a low outlier in the Meters On data. O C. Yes, there appears to be a high outlier in the Meters On data. OD. Yes, there appears to be a high outlier in the Meters Off data. (b) Are the ramp meters effective in maintaining a higher speed on the freeway? Use the a = 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below. OA. Ho Hon Hof H, Hon Hoff OB. HoHon Hoff HPon * Hoff C. Ho Fon Hoff H Hon Hoff OD. HOHO Hoff H1 Hon Hoff Determine the P-value for this test. P-value = 0.059 (Round to three decimal places as needed.) Choose the correct conclusion. O A. Reject Ho- There is not sufficient evidence at the a = 0.01 level of significance that the ramp meters are effective in maintaining higher speed on the freew O B. Reject Ho- There is sufficient evidence at the a = 0.01 level of significance that the ramp meters are effective in maintaining higher speed on the freeway. OC. Do not reject Hn- There is not sufficient evidence at the a= 0.01 level of significance that the ramp meters are effective in maintaining higher speed on th freeway. O D. Do not reject H. There is sufficient evidence at the a = 0.01 level of significance that the ramp meters are effective in maintaining higher speed on the freeway.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CT

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