10.31 Wire used for wrapping concrete pipe should havean ultimate tensile strength of 300,000 pounds,according to a design engineer. Forty tests ofsuch wire used on a certain pipe showed a meanultimate tensile strength of 295,000 pounds and astandard deviation of 10,000. Is there sufficientevidence to suggest that the wire used on thetested pipe does not meet the design specifica-tion at the 10% significance level?

Answered: Image /qna-images/answer/828d0a3c-cd12-421d-bd8e-39e5aacad81a.jpg

Answered: 0.31 Wire used for wrapping concrete…

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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Rivers in Negros Occidental were tested for hardness due to Calcium. Ten water samples had an average of Ca2+ content of 0.242 ppm and standard deviation of 0.031 ppm. At 0.05 level of significance, can you conclude that the rivers' Ca2+ content is less than 0.3 ppm? The z-test statistic is 2.463, thus conclusion is invalid. The t-test statistic is 2.463, thus conclusion is invalid. insufficient data The t-test statistic is -5.917, thus conclusion is valid. The z-test statistic is -5.917, thus conclusion is valid.
The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 40 drivers over the age of 60 and finds that the mean number of miles driven is 22.7. The population standard deviation is 2.9 miles. At =α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis.
Concrete cubes are used to test the quality of mix from a concrete mixing plant. 28 day compressive strength is taken as the standard measure to test the quality of the mix. Tests show that mean compressive strength of a sample of cubes is 28.4 units with a standard deviation of 2.95 units. To assure quality, the mixing company requires that at least 95% of the samples have compressive strength greater than 24 units. Based on this information and assuming a large sample size, answer the following questions. After major improvements on the plant, the mixing company is able to make cubes more consistent (reduce SD of compressive strength but maintain the same mean). For what value of the new SD will be cube standards be just met? Based on the requirements, only about___% of the samples meet the company standards.?
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200engines and the mean pressure was 5.4 pounds/square inch (psi). Assume the population standard deviation is 0.8 If the valve was designed to produce a mean pressure of 5.5psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
Assume that an internet provider monitors the amount of time that every customer accesses their home internet connection each day. The amount of time that all of their customers access their home internet connection is normally distributed. They access it for an average of 8.9 hours per day with a standard deviation of 2.1 hours. What proportion of samples of 100 will spend less than an average of 9 hours on their home internet per day? Your answer should have 4 decimal places.
In an automobile repair and service industry, the average number of defective items in all the lots of automobile parts produced by a machine last week was 8. The supervisor believes that the mean number of defective parts produced by the same machine will differ in the present week. To test whether the average differs from 8, he samples 30 lots to obtain the mean number of defective parts to be 9 with a standard deviation of 3.Using the critical value approach, identify the decision at the 5% level of significance. Group of answer choices The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.960] U [1.960, ∞). The decision is to reject H0 because the test statistic falls in the rejection region (-∞,-1.645]. The decision is not to reject H0 because the test statistic does not fall in the rejection region [1.645, ∞). The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.645] U…
A company is engaged in the manufacture of car tyres. Their mean life is 42,000 km with a standard deviation of 3,000 km. A change in the production process is believed to improve the quality of tyres. A test sample of 28 new tyres has a mean life of 43,500 km. Do you think that the new car tyres are significantly superior to the earlier one? Test the hypothesis at 5 percent level of significance.
A major car manufacturer wants to test a new catalytic converter to determine whether it meets new air population standards. The mean emission of all converter of this type must be less than 20 parts per million of carbon. 10 converters are manufactured for testing purpose and their emission levels are measured with a mean of 17.17 and a standard deviation of 2.98. Calculate the appropriate test statistic to test the hypotheses.
A soft drink bottler purchases glass bottles from a vendor. The bottles are required to have an internal pressure of at least 150150 pounds per square inch (psi). A prospective bottle vendor claims that its production process yields bottles with a mean internal pressure of 157157 psi and a standard deviation of 33 psi. The bottler strikes an agreement with the vendor that permits the bottler to sample from the production process to verify the claim. the bottler randomly selects 4040 bottles from the last 1000010000 produced, measures the internal pressure of each, and finds the mean pressure for the sample to be 0.50.5 psi below the process mean cited by the vendor. (a) Assuming that the vendor is correct in his claim, what is the probability of obtaining a sample mean this far or farther below the process mean? (b) If the standard deviation were 33 psi as claimed, but the mean was 154154 psi, what is the probability of obtaining a sample mean of 156.5156.5 psi or below? (c) If the…

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