Surface roughness of pipe. The journal Anti-Corrosion Methods and Materials (Vol. 50, 2003...

Surface roughness of pipe. The journal Anti-Corrosion Methods and Materials (Vol. 50, 2003) published a study of the surface roughness of oil field pipes. A scanning probe instrument was used to measure the surface roughness x (in micrometers) of 20 sampled sections of coated interior pipe. Consider the sample mean x.

a. Assume that the surface roughness distribution has a mean of m = 1.8 micrometers and a standard deviation of s = .5 micrometer. Use this information to find the probability that x exceeds 1.85 micrometers.

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b. The sample data from the study are listed in the table and saved in the ROUGHPIPE file. Compute x.

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c. On the basis of the result from partb , comment on thevalidity of the assumptions made in parta