I need help at the very bottom with - **Determine the?
P-value for this test.** - Thank you!

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).

Ramp_Meters_On Ramp_Meters_Off

28 23

39 35

42 46

36 29

42 36

47 26

31 36

46 38

56 22

27 52

56 41

24 30

51 17

40 40

48 42

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?

**A. ?No, there does not appear to be any
outliers.**

B. ?Yes, there appears to be a high outlier in the Meters Off
data.

C. ?Yes, there appears to be a high outlier in the Meters On
data.

D. ?Yes, there appears to be a low outlier in the Meters On
data.

**?(b)** Are the ramp meters effective in
maintaining a higher speed on the? freeway? Use the ?=0.01 level of
significance. State the null and alternative hypotheses.

Choose the correct answer below.

**H0:?on=?off**

**H1:?on>?off Correct Answer**

**Determine the? P-value for this test.**

?P-value=__?__

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

### Answer Preview

Ho : 1 - 2 = 0 Ha : 1-2 > 0 Level of Significance , = 0.01

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