1 a If the 95 range for measurement error is 25 in determine

1 a. If the 95% range for measurement error is ±2.5 in, determine the corresponding error range for the area.

b. A field party is capable of making taping observations with a standard deviation of ±0.010 ft per 100 ft tape length. What standard deviation would be expected in distance of 200 ft taped by this party?

Solution

1a.

Error range for area will be twice the error range for radius.

95% Error range for area = 2*0.25 = 0.50in

b.

Std dev = 0.010*sqrt(2) = 0.014 feet