Is there sufficient evidence to claim

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One portion of the research described in a paper by Yean-Jye Lu5 involved an evaluation of maneuver times for vehicles of various sizes that were involved in making a left turn at an intersection with a separate left-turn lane but without a separate left-turn phase on the traffic light governing the intersection (an "unprotected" left-turn maneuver). The maneuver time was measured from the instant that a vehicle entered the opposing lanes of traffic until it completely cleared the intersection. Four-cylinder automobiles were classified as "small cars" and sixor eight-cylinder automobiles as "large cars." Trucks and buses were combined to form a third category identified as "truck or bus." Other motorized vehicles (motorcycles, etc.) were ignored in the study. A summary of the data, giving maneuver times (in seconds) for vehicles that attempted the left-turn maneuver from a standing stop, appears in the accompanying table.

Vehicle Type

Sample Size

Mean

Standard Deviation

Small car

45

459

0.70

Large car

102

4.88

0.64

Truck or bus

IS

6.24

0.90

a. Is there sufficient evidence to claim that the mean maneuver times differ for the three vehicle types? Give bounds for the attained significance level.

b. Indicate the appropriate conclusion for an α =.05 level test.

Reference no: EM131028976

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