The article "Flexure of Concrete Beams Reinforced withAdvanced Composite Orthogrids" (J. of Aerospace Engr,1997: 7-15) gave the accompanying data on ultimate load(kN) for two different types of beams.SampleSampleSampleMeanТуреSDSize33.42.2Fiberglass grid262642.84.3Commercialcarbon grida. Assuming that the underlying distributions are normalcalculate and interpret a 99% CI for the differencebetween true average load for the fiberglass beams andthat for the carbon beams.b. Does the upper limit of the interval you calculated in part(a) give a 99% upper confidence bound for the differencebetween the two us? If not, calculate such a bound.Does it strongly suggest that true average load for thecarbon beams is more than that for the fiberglass beams?Explain

Solution:a.The 99% confidence interval for the difference between true average load for the…

Answered: The article "Flexure of Concrete Beams…

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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the wade tract in thomas county, georgia, is an old-growth forest of longleaf pine trees (pinus palustris) that has survived in a relatively undisturbed state since before the settlement of the area by europeans. foresters who study these trees are interested in how the trees are distributed in the forest. one way to formulate hypotheses about whether or not the trees are randomly distributed in the tract is to examine the average location in the north-side direction. the values range from 0 to 200, so if the trees are uniformly distributed in this direction, any difference from the middle value (100) should be due to chance variation. the sample mean for the 485 trees in the tract is 99.74. a theoretical calculation based on the assumption that the trees are uniformly distributed gives a standard deviation of 58. carefully state the null and alternative hypotheses in terms of this variable. note that this requires that you translate the research question about the random distribution…
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The purpose of a study was to determine the effectiveness of segmental wire fixation in athletes with spondylolysis. Between 1993 and 2000, 20 athletes (6 women and 14 men) with lumbar spondylolysis were treated surgically with the technique. The following table gives the Japanese Orthopaedic Association (JOA) evaluation score for lower back pain syndrome for men and women prior to the surgery. The lower score indicates less pain. Assume that the two populations of pain scores are normally distributed with equal variances. Gender JOA scoresFemale 14, 13, 24, 21, 20, 21Male 21, 26, 24, 24, 22, 23, 18, 24, 13, 22, 25, 23, 21, 25 What is the upper AND lower bound of a 90% confidence interval for the difference in means? (Hint: Use Female – Male)
The purpose of a study was to determine the effectiveness of segmental wire fixation in athletes with spondylolysis. Between 1993 and 2000, 20 athletes (6 women and 14 men) with lumbar spondylolysis were treated surgically with the technique. The following table gives the Japanese Orthopaedic Association (JOA) evaluation score for lower back pain syndrome for men and women prior to the surgery. The lower score indicates less pain. Assume that the two populations of pain scores are normally distributed with equal variances. Gender JOA scores Female 14, 13, 24, 21, 20, 21 Male 21, 26, 24, 24, 22, 23, 18, 24, 13, 22, 25, 23, 21, 25 What is the pooled variance? (Answer was calculated using 3 decimals places for intermediate steps.)
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