State results to the accuracy level specified; if not specified, state to an accuracy based on the problem.

Problem (1)

Survey Crew A measured a distance multiple times: 118.54', 118.52', 118.48', 118.54', 118.53', 118.47'.

Determine

The most probable line length

Its standard deviation

The length's expected error

Compute all to 0.001'.

 

Problem (2)

Two crews measured different distances multiple times. There results, in feet, are shown in the table below:

 

Crew A

Crew B

Num of meas

4

12

Average

87.96

108.53

Standard deviation

±0.030

±0.035

Which Crew had better:

Precision?

Expected accuracy?

Explain why in both cases and support mathematically.

 

Problem (3)

The zenith angle to the top of a flag pole was measured with these results: 37°18'55", 37°19'04", 37°19'09", 37°18'53", 37°19'02"

Determine

The most probable zenith angle

Its standard deviation

The angle's expected error

Compute all to 0.1".

 

Problem (4)

The length and width of a building are measured in feet, summarized in the table below.

Length

Width

173.9

89.6

174.5

90.1

174.3

89.7

What are the building's area and expected area error in square yards?

 

Problem (5)

A lab technician was to determine the moisture content of a soil sample. She weighed the sample 4 times and obtained an average of 583.4 gr with a ±0.9 gr standard deviation. After the sample was dried for 24 hours at 400° F, she weighed it 6 times for an average of 552.9 gr and standard deviation of ±1.5 gr. What was the soil’s moisture content, and its expected error, in grams?

 

Problem (6)

If all angles are measured to the same level of accuracy and their total must be within 15 seconds of (n-2)x180°, how much error is allowed in each angle of a five-sided property?

 

Answers


 

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