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 seven applications of a 162 kN load on a runway with a subbase thickness of 867 mm, the average surface deflection was 1.92 mm with a standard deviation of 0.070 mm. Find a90% confidence interval for the mean deflection caused by a 162 kN load. When necessary round intermediate and final calculations to three decimal places. The confidence interval is (, ).

Explanation / Answer

We use z test here.

x = 1.92, sd = 0.070 , n = 7

90% Confidance interval is

(X - 1.6449 * 0.070/sqrt(7) , X + 1.6449 *0.070 /sqrt(n) )

(1.87648,1.96352)

This is confidence interval for mean deflation.

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