To study this, you administer to your subjects a drink that is equivalent to thr

Question

To study this, you administer to your subjects a drink that is equivalent to three 12-ounce beers, followed by the equivalent of two cups of coffee. Then your subjects complete a simulated driving task in which they must follow a fixed speed limit while driving on a straight road. Wind periodically and randomly pushes the simulated vehicle right, left, or not at all. Motor control is measured in terms of the number of feet the car moves from the center of the driving lane, with 1 foot being the smallest unit on the scale. Suppose the first subject scores 20 feet. Determine the real limits of 20. The lower real limit is: L The upper real limit is: When measuring weight on a scale that is accurate to the nearest 0.1 pound, what are the real limits for the weight of 145 pounds? O 144.9-145.1 O 144.95-145.05 O 145-146 When measuring weight on a scale that is accurate to the nearest 0.2 pound, what are the real limits for the weight of 172 pounds? O 172-173 171.9-172.1 O 171.95-172.05

Explanation / Answer

A measurement that is recorded as U units, and whose smallest unit on the scale is V units, in reality must have been between (U - V/2) and (U + V/2) units, so that the maximum error is less than V/2 units.

With a measurement being recorded as 20 feet, with the smallest unit on the scale being 1 foot, it would have been really between (20 - 1/2) and (20 + 1/2) units = (19.5, 20.5) units.

With a measurement being recorded as 145 pounds, with the smallest unit on the scale being 0.1 pound, it would have been really between (145 - 0.1/2) and (145 + 0.1/2) units = (144.95, 145.05) pounds.

With a measurement being recorded as 172 pounds, with the smallest unit on the scale being 0.2 pound, it would have been really between (172 - 0.2/2) and (172 + 0.2/2) units = (171.9, 172.1) pounds.

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