Daily Archives: October 21, 2020

Using sample statistics and the data from Problem 3.12, construct a 95% confidence interval:

(a) for a single observation, and identify any observations that may be identified as possible outliers in the data.

(b) for the mean.

Problem 3.12

Problem 3.12

Using the following data set, answer the questions that follow.

17.5 15.0 13.4 23.9 25.2 19.5 25.8 30.0 22.5 35.3 39.5 23.5 26.5 21.3 22.3 21.6 27.2 21.1 24.0 23.5 32.5 32.2 24.2 35.7 28.0 24.0 16.8 21.1 19.0 30.7 30.2 33.7 19.7 19.7 25.1 27.9 28.5 22.7 31.0 28.4 31.2 24.6 30.2 16.8 26.9 23.3 21.5 18.8 21.4 20.7

(a) What are the mean and standard deviation of the data set?

(b) Construct a centered relative frequency histogram of the data using seven intervals and discuss….

In Problem 2.6, compute the estimated error in the overall distance as measured by both the 100- and 200-ft tapes. Which tape produced the smallest error?

Problem 2.6

Problem 2.6

A distance was measured in two parts with a 100-ft steel tape and then in its entirety with a 200-ft steel tape. Five repetitions were made by each method. What are the mean, variance, and standard deviation for each method of measurement?

Distances measured with a 100-ft tape: Section 1: 100.006, 100.004, 100.001, 100.006, 100.005 Section 2: 86.777, 86.779, 86.785, 86.778, 86.774

Distances measured with a 200-ft tape: 186.778, 186.776, 186.781, 186.766, 186.789

A distance was measured by pacing as 267 ft with a standard deviation of 3 ft. It was then measured as 268.94 ft with a steel tape and had a standard deviation of 0.05 ft. Finally, it was measured as 268.99 ft with an EDM. The EDM instrument and reflector setup standard deviations were 0.005 ft and 0.01 ft, respectively, and the manufacturer’s estimated standard deviation for the EDM instrument is (3 mm 3 ppm). What is the most probable value for the distance and the standard deviation of the weighted mean?

What standard deviation is computed for each weighted observation of Problem 10.4?

Problem 9.04

A distance was measured by pacing as 267 ft with a standard deviation of 3 ft. It was then measured as 268.94 ft with a steel tape and had a standard deviation of 0.05 ft. Finally, it was measured as 268.99 ft with an EDM. The EDM instrument and reflector setup standard deviations were 0.005 ft and 0.01 ft, respectively, and the manufacturer’s estimated standard deviation for the EDM instrument is (3 mm 3 ppm). What is the most probable value for the distance and the standard deviation of the weighted mean?

Design a 6 mi 6 mi control network having a minimum of eight control stations using a topographic map of your local area. Design a traditional measurement network made up of angles, azimuths, and distances so that the largest ellipse axis at a 95% confidence level is less than 0.20 ft and so that all observations have redundancy numbers greater than 0.5. In the design, specify the shortest permissible sight distance, the largest permissible errors in pointing, reading, and instrument and target setup errors, the number of repetitions necessary for each angle measurement, and the necessary quality of angle and distance measuring instruments. Use realistic values for the instruments. Plot profiles of sight lines for each observation.