Question

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).

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Ramp Meters On 29 49 57 37 30 26 43 45 51 36 55 40 43 26 47

Ramp Meters Off 23 26 41 35 38 32 46 37 19 29 24 40 38 50 42

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• (b) Are the ramp meters effective in maintaining a higher speed on the​ freeway? Use the

alphaαequals=0.05

level of significance. State the null and alternative hypotheses. Choose the correct answer below.

C.

Upper H 0H0​:mu Subscript on Baseline equals mu Subscript offμon=μoff

Upper H 1 :H1:mu Subscript on Baseline greater than mu Subscript offμon>μoff

Your answer is correct.

Determine the​ P-value for this test.

​P-value =?

​(Round to three decimal places as​ needed.)

Answer 1