The article "Withdrawal Strength of Threaded Nails" (D. Rammer, S. Winistorfer, and D. Bender, Journal of Structural Engineering, 2001:442–449) describes an experiment comparing the withdrawal strengths for several types of nails. The data presented in the following table are consistent with means and standard deviations reported in the article for three types of nails: annularly threaded, helically threaded, and smooth shank. All nails had diameters within 0.1 mm of each other, and all were driven into the same type of lumber. Nail Withdrawal Strength (N/mm) Type Annularly 36.57 29.67 43.38 26.94 12.03 21.66 41.79 31.50 35.84 40.81 threaded Helically 14.66 24.22 23.83 21.80 27.22 38.25 28.15 36.35 23.89 28.44 threaded Smooth 12.61 25.71 17.69 24.69 26.48 19.35 28.60 42.17 25.11 19.98 shank Construct an ANOVA table. You may give a range for the P-value. Can you conclude that the mean withdrawal strength is different for different nail types? a. b.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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The article "Withdrawal Strength of Threaded Nails" (D. Rammer, S. Winistorfer, and D.
Bender, Journal of Structural Engineering, 2001:442–449) describes an experiment
comparing the withdrawal strengths for several types of nails. The data presented in the
following table are consistent with means and standard deviations reported in the article for
three types of nails: annularly threaded, helically threaded, and smooth shank. All nails had
diameters within 0.1 mm of each other, and all were driven into the same type of lumber.
Nail
Withdrawal Strength (N/mm)
Type
Annularly 36.57 29.67 43.38 26.94 12.03 21.66 41.79 31.50 35.84 40.81
threaded
Helically 14.66 24.22 23.83 21.80 27.22 38.25 28.15 36.35 23.89 28.44
threaded
Smooth
12.61 25.71 17.69 24.69 26.48 19.35 28.60 42.17 25.11 19.98
shank
Construct an ANOVA table. You may give a range for the P-value.
Can you conclude that the mean withdrawal strength is different for different nail
types?
a.
b.
Transcribed Image Text:The article "Withdrawal Strength of Threaded Nails" (D. Rammer, S. Winistorfer, and D. Bender, Journal of Structural Engineering, 2001:442–449) describes an experiment comparing the withdrawal strengths for several types of nails. The data presented in the following table are consistent with means and standard deviations reported in the article for three types of nails: annularly threaded, helically threaded, and smooth shank. All nails had diameters within 0.1 mm of each other, and all were driven into the same type of lumber. Nail Withdrawal Strength (N/mm) Type Annularly 36.57 29.67 43.38 26.94 12.03 21.66 41.79 31.50 35.84 40.81 threaded Helically 14.66 24.22 23.83 21.80 27.22 38.25 28.15 36.35 23.89 28.44 threaded Smooth 12.61 25.71 17.69 24.69 26.48 19.35 28.60 42.17 25.11 19.98 shank Construct an ANOVA table. You may give a range for the P-value. Can you conclude that the mean withdrawal strength is different for different nail types? a. b.
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