I want to know the answer and detail step by step 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?

Determine the type of hypotheses to be tested. From the information, given the claim is to test…

Answered: Before agreeing to purchase a large…

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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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?
Before agreeing to purchase a large order of polyethylenesheaths for a particular type of high-pressure oilfilledsubmarine power cable, a company wants to seeconclusive evidence that the true standard deviation ofsheath thickness is less than .05 mm. What hypothesesshould be tested, and why? In this context, what are thetype I and type II errors?
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…
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
A soft-drink bottle vendor claims that its process yields bottles with a mean internal strength of 157 psi (pounds per square inch) and a standard deviation of 3 pši and is normally distributed. As part of its vendor surveillence, a bottler strikes an agreement with the vendor that permits the bottler to sample from the vendor's production to verify the vedor's clain. a) suppose the bottler randomly selects 15 bottles to sample. What is the mean and standard deviation? b)suppose it's not normally distributed. What is the mean and standard deviation for 64 randomly selected bottles?
A soft drink bottler purchases glass bottles from a vendor. The bottles are required to have an internal pressure of at least 150 pounds per square inch (psi). A prospective bottle vendor claims that its production process yields bottles with a mean internal pressure of 157 psi and a standard deviation of 3 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 40 bottles from the last 10000 produced, measures the internal pressure of each, and finds the mean pressure for the sample to be 0.8 psi below the process mean cited by the vendor. If the standard deviation were 3 psi as claimed, but the mean was 157.8 psi, what is the probability of obtaining a sample mean of 156. 2 psi or below? If the process mean were 157 psi as claimed, but the standard deviation was 2.3 psi, what is the probability of obtaining a sample mean of 156.2 psi or below?
Among private universities in the United States, the mean ratio of students to professors is 35.2 (i.e., 35.2 students for each professor) with a standard deviation of 8.8. Suppose a random sample of 50 universities is selected and the observed mean student-to-professor ratio is 38. Is there evidence that the reported mean ratio actually exceeds 35.2? Use  = 0.05 and conduct the appropriate hypothesis test. ( See attached picture )
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (d) below. (ROunu to 10Ui decimai places as need.) b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 25.02 %. Loc Br (Round to two decimal places as needed.) c. How many miles will be traveled by at least 75% of the trucks? Pr The number of miles that will be traveled by at least 75% of the trucks is miles. (Round to the nearest mile as needed.)
A energy-generating program is proposed using wind power. Suppose that this form of energy generation is only viable if wind speed in a certain area is over 35 km/h for at least twenty-five percent of the time. If the average wind speed is 25 km/h with a standard deviation of 15 km/h. Is there sufficient evidence to suggest that the project will be viable?
A company need to estimate the average weight of a product at 95% level of confidence. Average weight and standard deviation of a sample of size 50 are 20.5 kg and 4.8 kg respectively. Estimate the average weight of the total production.
A human resources manager at a company based in a major city wants to determine whether there is a difference in commute times between employees who use a bus to commute to work and employees who take the subway. She surveys each employee to estimate the length of his or her daily commute. The commute times in minutes for a random sample of 10 employees who commute by bus and 10 employees who commute by subway are recorded. Assume that the population standard deviation of commute times is 5 minutes for both groups of employees and that the commute times for both groups of employees are normally distributed. Let the commute times, in minutes, by bus be the first sample, and let the commute times, in minutes, by subway be the second sample. She conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence of a difference in commute time between the two groups. (a) Which answer choice shows the correct null and alternative hypotheses for this…
An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.55 and standard deviation 0.380.1) Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks.2) How many rocks must be sampled so that the standard deviation of the sample mean SiO2 content is 0.05? (Round the final answer to the nearest whole number.)

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