Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 14.2, Problem 23E
The article “Nonbloated Burned Clay Aggregate Concrete” (J. of Materials, 1972: 555–563) reports the following data on 7-day flexural strength of nonbloated burned clay aggregate concrete samples (psi):
| 257 | 327 | 317 | 300 | 340 | 340 | 343 | 374 | 377 | 386 |
| 383 | 393 | 407 | 407 | 434 | 427 | 440 | 407 | 450 | 440 |
| 456 | 460 | 456 | 476 | 480 | 490 | 497 | 526 | 546 | 700 |
Test at level .10 to decide whether flexural strength is a
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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
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The data below give accompanying strength observations for cylinders.
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Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean μ1 and standard deviation σ1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean μ2 and standard deviation σ2.
Compute the estimated standard error. (Round your answer to three decimal places.)
(c) Calculate a point estimate of the ratio σ1/σ2 of the two standard deviations. (Round your answer to three decimal places.)
(d) Suppose a single beam and a single cylinder are…
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
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The data below give accompanying strength observations for cylinders.
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Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean ?1 and standard deviation ?1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean ?2 and standard deviation ?2.
(a) Calculate the estimate for the given data. (Round your answer to three decimal places.) (b) Use rules of variance to obtain an expression for the variance and standard deviation (standard error) of the estimator in part (a).
V(X − Y)
=
V(X) + V(Y)
=…
An article in the Journal of Applied Polymer Science (Vol. 56, pp. 471–476, 1995) studied the effect of the mole ratio of sebacic acid on the intrinsic viscosity of copolyesters.- The data follows: Viscosity 0.45 0.2 0.34 0.58 0.7 0.57 0.55 0.44 Mole ratio 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 (a) Construct a scatter diagram of the data.
Chapter 14 Solutions
Probability and Statistics for Engineering and the Sciences
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