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. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST   4200     3600     3750     3650     4050     2770 RBOT   370 345 375 315 350 205 TOST   4870     4525     3450     2700     3750     3325 RBOT   400 380 285 220 345 290 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) r =    Carry out a test of hypotheses to decide whether RBOT Time and TOST time are linearly related. (Use ? = 0.05.) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t  =    P-value  =

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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. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens.

TOST   4200     3600     3750     3650     4050     2770
RBOT   370 345 375 315 350 205
TOST   4870     4525     3450     2700     3750     3325
RBOT   400 380 285 220 345 290
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
r =
 
 Carry out a test of hypotheses to decide whether RBOT Time and TOST time are linearly related. (Use
? = 0.05.)
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t  =   
P-value  =   


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