Almost all suspension bridges are designed to transfer the load to the suspension cables, which in turn tranfer the load to the ground via the support pillars. The tensile strength of a cable must conform to some strict safety codes. Not only the cables must have some specified average strength, they must also not have too much variability in their tensile strengths. Any batch of cables whose standard deviation in the tensile strength exceeds 5 units is considered unreliable and must be discarded. A supplier provided a batch of cables for the project, out of which tests were conducted on 16 randomly selected (SRS) cables. Their tensile strengths showed the variability (variance) to be 30.9 squared units. What should be the null and the alternative hypotheses? Should we reject the entire batch if our level of significance is a = 0.05? (The tensile strengths of cables could be assumed to have a normal distribution.) The following "answers" have been proposed. (a) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should reject the null hypothesis. That is, the batch is not within the safety code specifications. (b) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is not within the safety code specifications. (c) The null hypothesis is o< 5 and the alternative hypothesis is 6 > 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is not within the safety code specifications. (d) The null hypothesis is o < 5 and the alternative hypothesis is o > 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is within the safety code specifications. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
Almost all suspension bridges are designed to transfer the load to the suspension cables, which in turn tranfer the load to the ground via the support pillars. The tensile strength of a cable must conform to some strict safety codes. Not only the cables must have some specified average strength, they must also not have too much variability in their tensile strengths. Any batch of cables whose standard deviation in the tensile strength exceeds 5 units is considered unreliable and must be discarded. A supplier provided a batch of cables for the project, out of which tests were conducted on 16 randomly selected (SRS) cables. Their tensile strengths showed the variability (variance) to be 30.9 squared units. What should be the null and the alternative hypotheses? Should we reject the entire batch if our level of significance is a = 0.05? (The tensile strengths of cables could be assumed to have a normal distribution.) The following "answers" have been proposed. (a) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should reject the null hypothesis. That is, the batch is not within the safety code specifications. (b) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is not within the safety code specifications. (c) The null hypothesis is o< 5 and the alternative hypothesis is 6 > 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is not within the safety code specifications. (d) The null hypothesis is o < 5 and the alternative hypothesis is o > 5. At a = 0.05 level of significance we should not reject the null hypothesis. That is, the batch is within the safety code specifications. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Almost all suspension bridges are designed to transfer the load to the suspension cables, which in turn tranfer the
load to the ground via the support pillars. The tensile strength of a cable must conform to some strict safety codes. Not
only the cables must have some specified average strength, they must also not have too much variability in their tensile
strengths. Any batch of cables whose standard deviation in the tensile strength exceeds 5 units is considered unreliable
and must be discarded. A supplier provided a batch of cables for the project, out of which tests were conducted on 16
randomly selected (SRS) cables. Their tensile strengths showed the variability (variance) to be 30.9 squared units. What
should be the null and the alternative hypotheses? Should we reject the entire batch if our level of significance is a = 0.05?
(The tensile strengths of cables could be assumed to have a normal distribution.)
The following ``answers" have been proposed.
(a) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should reject the
null hypothesis. That is, the batch is not within the safety code specifications.
(b) The null hypothesis is o > 5 and the alternative hypothesis is o < 5. At a = 0.05 level of significance we should not
reject the null hypothesis. That is, the batch is not within the safety code specifications.
(c) The null hypothesis is o< 5 and the alternative hypothesis is o > 5. At a = 0.05 level of significance we should not
reject the null hypothesis. That is, the batch is not within the safety code specifications.
(d) The null hypothesis is o < 5 and the alternative hypothesis is o > 5. At
reject the null hypothesis. That is, the batch is within the safety code specifications.
(e) None of the above.
a = 0.05 level of significance we should not
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)
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