10. When appropriate, refer to the StatCrunch analysis you believe is correct in this problem. 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 accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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10. When appropriate, refer to the StatCrunch analysis
you believe is correct in this problem. 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 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 increasing
travelling speeds, engineers in Minneapolis, Minnesota,
conducted an experiment in which a section of freeway had
ramp meters installed on the on-ramps. 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 had their
speeds measured. Is there evidence of a significant
improvement with the ramp metering in place? Use a 10%
significance level.
Analysis #1: Hypothesis test results: dependent samples, paired t-test
Difference Sample Diff. Std. Err. DF T-Stat P-value
On-Off
6.93
3.92
1.77
0.049
Analysis #2: Hypothesis test results: independent samples, t-test
Difference Sample Diff Std. Err. DF T-Stat P-value
On-Off
6.92
3.57
1.94
0.032
Transcribed Image Text:10. When appropriate, refer to the StatCrunch analysis you believe is correct in this problem. 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 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 increasing travelling speeds, engineers in Minneapolis, Minnesota, conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. 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 had their speeds measured. Is there evidence of a significant improvement with the ramp metering in place? Use a 10% significance level. Analysis #1: Hypothesis test results: dependent samples, paired t-test Difference Sample Diff. Std. Err. DF T-Stat P-value On-Off 6.93 3.92 1.77 0.049 Analysis #2: Hypothesis test results: independent samples, t-test Difference Sample Diff Std. Err. DF T-Stat P-value On-Off 6.92 3.57 1.94 0.032
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