An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several expe to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this resulting compressive strength of the concrete specimen is the response. The data are sl Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete
to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The
resulting compressive strength of the concrete specimen is the response. The data are shown in the following table.
Compressive Strength (psi)
Rodding Level
Observations
10
1530
1530
1440
15
1610
1650
1500
20
1560
1730
1530
25
1500
1490
1510
(a) Is there any difference in compressive strength due to the rodding level? Use a = 0.05.
Calculate to 2 decimal places fo:
Is there statistical evidence to say that rodding level affects compressive strength?
(b) Find to 2 decimal places the P-value for the F-statistic computed in part (a).
P-value = i
(c) Analyze the following residual plots to determine model adequacy.
Does the assumption of normality seem reasonable?
Does there appear to be an outlier in the data?
Does the assumption of constant variance seem reasonable?
>
>
Transcribed Image Text:An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use a = 0.05. Calculate to 2 decimal places fo: Is there statistical evidence to say that rodding level affects compressive strength? (b) Find to 2 decimal places the P-value for the F-statistic computed in part (a). P-value = i (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does there appear to be an outlier in the data? Does the assumption of constant variance seem reasonable? > >
Nomai Protability Piat of the Residuals
iree s STREMOTH)
-100
100
Residuel
Resda svarsusRODNG
28
RCDD NG
Rescualsversusthe Fitted Values
" Ake
acas EeN
Transcribed Image Text:Nomai Protability Piat of the Residuals iree s STREMOTH) -100 100 Residuel Resda svarsusRODNG 28 RCDD NG Rescualsversusthe Fitted Values " Ake acas EeN
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