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1. In a set of distances measured by a road crew, all measurements by five of th

ID: 2921952 • Letter: 1

Question

1. In a set of distances measured by a road crew, all measurements by five of the crew agreed to within the precision interval. For crew number six, however, one measured distance was just outside the precision interval. The crew supervisor needed to determine if the measurement was acceptable or not at 95% probability. Average of all measured distances was 23.6 miles. The standard deviation of all 50 measurements was .34 miles. The measured value in question from crew six was 22.7 miles Determine if the crew-six measurement is acceptable at 95% probability or is an outlier that must be discarded

Explanation / Answer

as from above 2 std deviation away values from mean =23.6 -/+ 2*0.34 =22.92 ; 24.28

for 22.7 does fall outisde of this interval ; therefore it is an outlier that must be discarded,