WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
9th Edition
ISBN: 9780357893104
Author: Devore; Jay L.
Publisher: Cengage Learning US
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Chapter 10.1, Problem 5E
Consider the following summary data on the modulus of elasticity (3 106 psi) for lumber of three different grades [in close agreement with values in the article “Bending Strength and Stiffness of Second-Growth Douglas-Fir Dimension Lumber” (Forest Products J., 1991: 35–43), except that the
Grade | J |
|
si |
1 | 10 | 1.63 | .27 |
2 | 10 | 1.56 | .24 |
3 | 10 | 1.42 | .26 |
Use this data and a significance level of .01 to test the null hypothesis of no difference in
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Consider the following summary data on the modulus of elasticity (✕ 106 psi) for lumber of three different grades.
Grade
J
xi.
si
1
9
1.61
0.22
2
9
1.54
0.25
3
9
1.43
0.21
Use this data and a significance level of 0.01 to test the null hypothesis of no difference in mean modulus of elasticity for the three grades. Calculate the test statistic. (Round your answer to two decimal places.)
f =
What can be said about the P-value for the test?
P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001
What can you conclude?
Reject H0. At least two of the three grades appear to differ significantly. Reject H0. The three grades do not appear to differ significantly. Fail to reject H0. The three grades do not appear to differ significantly. Fail to reject H0. At least two of the three grades appear to differ significantly.
5.25. Representative data on x = carbonation depth (in millimeters) and y = strength (in megapascals) for a sample of concrete core specimens taken from a particular building were read from a plot in the article “The Carbonation of Concrete Structures in the Tropical Environment of Singapore” (Magazine of Concrete Research [1996]: 293-300): Depth, x 8.0 20.0 20.0 30.0 35.0 40.0 50.0 55.0 65.0 Strength, y 22.8 17.1 21.1 16.1 13.4 12.4 11.4 9.7 6.8
a. Construct a scatterplot. Does the relationship between carbonation depth and strength appear to be linear? Yes, the relationship between carbonation depth and strength appears to be linear however it is a negative linear relation.
b. Find the equation of the of the least-squares line.c. What would you predict for strength when carbonation depth is 25 mm?d. Explain why it would not be reasonable to use the least-squares line to predict strength when carbonation depth…
The following data represent the results obtained from the specific gravity (S.G.) test performed in a soil laboratory including for sand
* ?samples. Find the mode
Chapter 10 Solutions
WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
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