Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 11.3, Problem 27E
The output of a continuous extruding machine that coats steel pipe with plastic was studied as a
- a. Construct the ANOVA table.
- b. Use appropriate F tests to show that none of the F ratios for two- or three-factor interactions is significant at level .05.
- c. Which main effects appear significant?
- d. With x..1. = 5 8242, x..2. = 5 9732, and x..3. = 11,210, use Tukey’s procedure to identify significant differences among the levels of factor C.
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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
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TOST
RBOT
4200
370
TOST
RBOT
3575 3750 3700
340
375
315
4050
350
4870 4475 3450
400 375
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(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
2795
195
2725 3750
220
345
3275
290
Interpret the value of the sample correlation coefficient.
O The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT.
O The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT.
O The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT.
O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT.
(b) How…
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
2795
RBOT
370
340
375
310
350
205
TOST
4870
4500
3450
2700
3750
3275
RBOT
400
375
285
225
345
290
(a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.)
The first step of the Durbin-Watson test for the presence of autocorrelation is to estimate the model and determine
Select one:
a.
the residuals lagged one period.
b.
the current period residuals and the residuals lagged one period.
c.
the current period residuals.
d.
the current period residuals, the residuals lagged one period, and the residuals lagged two periods.
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
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