1) APAC's aviation part manufacturer claims that new composite part has a mean shearing strength ofless than 3000 kPa. Eight sample composite parts are tested randomly with mean and standarddeviation, x = 2959 and s = 39.1. Is there enough evidence to support the manufacturer's claim at0.025 significance level?

We will use basic knowledge of statistical theory.

Answered: 1) APAC's aviation part manufacturer…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A simple random sample of 34 men from a normally distributed population results in a standard deviation of 8.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. ... a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. H: 0 10 beats per minute O B. H, o= 10 beats per minute H:o = 10 beats per minute H o<10 beats per minute O D. H, 62 10 beats per minute H o<10 beats per minute O C. H, o= 10 beats per minute H: 0 10 beats per minute b. Compute the test statistic. %3D (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d. State…
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In tests of a computer component, it is found that the mean time between failures is 909 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 25 modified components produce a mean time between failures of 955 hours. Using a 1% level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than 909 hours. Assume that the population standard deviation is 53 hours.
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.?
The breaking force of the cables produced by a manufacturer is 1800 lbs (lb) and the standard deviation is 100 lbs. It is claimed that the breaking force can be increased with a new technique in the manufacturing process. To test this claim, a sample of 50 wires is taken and tested. The average breaking force of the samples is found as 1850 lb. Can we support this claim at the 0.01 significance level?
A factory produces tables which are claimed on average to have a length of 150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that the length of tables is normally distributed. The factory's manager wants to carry out a test of: Ho : = = 150.0 vs. H₁ < 150.0 at the 10% significance level. Determine the sample size which is necessary for the test to have 99% power if the true mean length is 149.7 cm.
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In a study of microplastics in our environment, it was determined that there are 5.25 trillion plastic pieces floating in the ocean, weighing more than 250,000 tons. In a recent expedition to examine whether increases in plastic production have led to changes in ocean microplastics, 16 samples were taken at various locations in the Pacific Ocean. It was determined that the average concentration was 9.5 particles per liter of ocean water with a sample standard deviation of 6. In one of the earliest research expeditions to study microplastics in the ocean conducted in 2009, it was determined that the average concentration of microplastics was 6 particles per liter (consider this the population or reference mean). What is the critical value for the two-tailed alternative hypothesis at alpha = 5%? (Hint: This is the value in the table that you will compare your test statistic to in order to determine the outcome of the hypothesis test). 2.131 1.746 2.120 1.753
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