6. A line was measured 5 times with a tape on a windy day with these results: 286.85, 286.96, 286.77, 286.80, and 286.88 ft. Find the mean and standard deviation of a single measurement. Then, the measurement was repeated 15 more times, giving a mean of 286.87 ft and a standard deviation of 0.06 ft. Have there been enough repetitions to assure that the standard error of the mean is less than 0.02 ft?

6. A line was measured 5 times with a tape on a windy day with these results: 286.85, 286.96, 286.77, 286.80, and 286.88 ft. Find the mean and standard deviation of a single measurement. Then, the measurement was repeated 15 more times, giving a mean of 286.87 ft and a standard deviation of 0.06 ft. Have there been enough repetitions to assure that the standard error of the mean is less than 0.02 ft?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods of Surveying

Surveying is the practice to determine the relative three-dimensional positions of various points on the earth’s surface. This is done by computing the vertical and horizontal distances, angles between the points, collecting the observations, and plotting them on a map of any appropriate scale. Accuracy can be achieved by using the latest instruments like a theodolite, tachometer, etc. Leveling is a subdivision of surveying where the objective is to locate the elevation of objects considering a datum level.

Question

6. A line was measured 5 times with a tape on a windy day with these results: 286.85, 286.96,
286.77, 286.80, and 286.88 ft. Find the mean and standard deviation of a single measurement.
Then, the measurement was repeated 15 more times, giving a mean of 286.87 ft and a standard
deviation of 0.06 ft. Have there been enough repetitions to assure that the standard error of the
mean is less than 0.02 ft?

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