The Michyear Tire Company uses 4-cylinder, 4-ton payload delivery vehicles. These vehicles do about 150 miles per day within a 50 mile radius of base....

The Michyear Tire Company uses 4-cylinder, 4-ton payload delivery vehicles. These vehicles do about 150 miles per day within a 50 mile radius of base. There is a suspicion that water pump failures are at an unacceptably high level and the failure data as shown in Table A2.3 have been obtained.

Use Weibull probability paper to analyze these data. Using the shape parameter and the characteristic life from your analysis, sketch the shape of the associated probability density function, marking on this sketch the mean time to failure of the pumps.

Do you think that preventive replacement of the water pumps may be a worthwhile replacement strategy? Give reasons for your answer.