A particular article presents a study of the effect of the subbase thickness on

Question

A particular article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 868 mm, the average surface deflection was 2.01 mm with a standard deviation of 0.070 mm. Find a90% confidence interval for the mean deflection caused by a 160 kN load. When necessary round intermediate and final calculations to three decimal places. The confidence interval is

Explanation / Answer

here for std error of mean =std deviation/(n)1/2 =0.0286

and for 5 degree of freedom and 90% CI, t=2.015

hence confidence interval =mean +/-t*Std error =1.952 ; 2.068

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