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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 10 15 20 25 Observations 1530 1530 1440 1610 1650 1500 1560 1730 1530 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use α = 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). i

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 10 15 20 25 Observations 1530 1530 1440 1610 1650 1500 1560 1730 1530 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use α = 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). i

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 10 15 20 25 Observations 1530 1530 1610 1650 P-value = i 1440 1500 1560 1730 1530 Calculate to 2 decimal places fo: 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use α = 0.05. 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). (c) Analyze the following residual plots to determine model adequacy. i
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 10 15 20 25 Observations 1530 1530 1610 1650 P-value = i 1440 1500 1560 1730 1530 Calculate to 2 decimal places fo: 1500 1490 1510 (a) Is there any difference in compressive strength due to the rodding level? Use α = 0.05. 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). (c) Analyze the following residual plots to determine model adequacy. 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:(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? < < <
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