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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-
pressure oil-filled submarine power cable, a company wants to see conclusive evidence that the
true standard deviation of sheath thickness is less than .05mm.
What hypotheses should be tested, and why? In this context, what are the type I and type II
errors?

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The tensile strengths of two types of materials were investigated by collecting 16 samples of each material (totally 32 samples).The sample mean for material 1 was 423.08 (psi), and for material 2 was 424.7 (psi). The samplestandard deviation of the difference in tensile strengths was sD = 2.8 (psi). Is there sufficientevidence to conclude that two types of materials have the same tensile strength? Formulate andtest the appropriate null H0 and alternative hypotheses H1 to verify the claim at level α = 0.01
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine power cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.05 mm. What hypothesis should be tested, and why? In this context, what are the type I and type II errors?
The engineering department of a car manufacturer claims that the fuel consumption rate of a new model is equal to 35.2 mi/gal. The advertising department wants to test this claim so they get a sample of 40 such cars and this sample yields i = 33.6 mi/gal and a standard deviation s=4.2 mi/gal. Test the claim of the engineering department using a 0.05 level of significance. a) State your null and alternative hypothesis b) Choose the appropriate test statistic c) Critical values and corresponding critical region d) Compute the test statistiC e) Decision and conclusion
The specifications for a plastic liner for a concrete highway project calls for thickness of 3.0 mm±0.10mm. The standard deviation of the process is estimated to be 0.02mm. What is the The lower specification limit for this product?
30% of the soil samples obtained from a proposed construction site gave test results for compressive strength of more than 3.5 tons per square foot. The coefficient of variation of the strengths is known to be 20%. Calculate:a) the mean soil strength,b) the standard deviation of soil strengths,c) the probability of soil strengths falling between 2.7 and 4.0 tons per square foot. State any assumptions made.

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