(1) A distance was measured in two parts with a 100-ft. steel tape and then in i

Question

(1) 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? Compute the estimated error in the overall distance as measured by both the 100- and 200-ft tapes. Which tape produced the smallest estimated error? (15 pts)

Distances measured with 200-ft tape Distance measured with 100-ft tape Section 1 100.006, 100.004, 100.001, 100.006, 186.778, 186.776, 186.781, 186.786, 186.782 100.005 Section 2 86.777, 86.779, 86.785, 86.778, 86.774

Explanation / Answer

The mean, variance, and standard error for 100-ft tape are respectively 186.783, 0.00001,and 0.0025.

The mean, variance, and standard error for 200-ft tape are respectively 186.781, 0.00001,and 0.0038.

The 100-ft tape produced the smallest error.

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