The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb

question 38

Essay

The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. The accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens have been reported: $$\begin{array} { l c c c c c c } \hline \text { TOST } & 4200 & 3600 & 3750 & 3675 & 4050 & 2770 \\\hline \text { RBOT } & 370 & 340 & 375 & 310 & 350 & 200 \\\hline & & & & & & \\\hline \text { TOST } & 4870 & 4500 & 3450 & 2700 & 3750 & 3300 \\\hline \text { RBOT } & 400 & 375 & 285 & 225 & 345 & 285 \\\hline\end{array}$$
a. Calculate and interpret the value of the sample correlation coefficient .
b. How would the value of r be affected if we had let x = RBOT time and y = TOST time?
c. How would the value of r be affected if RBOT time were expressed in hours?
d. Normal probability plots indicate that Both TOST and ROBT time appear to have come from normally distributed populations. Carry out a test of hypotheses to decide whether RBOT time and TOST time are linearly related.

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Definitions:

Conservative Reaction

A response aiming to preserve traditional structures, values, and practices in the face of perceived changes or threats to social, cultural, or political norms.

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Survival of The Fittest

A concept derived from Darwinian evolutionary theory, describing the mechanism through which natural selection occurs, favoring traits that enhance survival and reproduction.