A bearing used in an automotive application is required to have a nominal inside diameter of 1.5 inches. A random sample of 25bearings is selected and the average inside diameter of these bearings is 1.4975 inches. Bearing diameter is known to be normallydistributed with standard deviation o = 0.01 inch.(a) Test the hypotheses Ho:µ = 1.5 versus H1:µ + 1.5 using a = 0.01.The true mean hole diametersignificantly different from 1.5 in. at a = 0.01.(b) What is the P-value for the test in part (a)?P-value =Round your answer to two decimal places (e.g. 98.76).(c) Compute the power of the test if the true mean diameter is 1.495 inches.Power of the test =Round your answer to two decimal places (e.g. 98.76).(d) What sample size would be required to detect a true mean diameter as low as 1.495 inches if we wanted the power of the test to beat least 0.91?bearings

As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Answered: A bearing used in an automotive…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The owner of a coin-operated hot coffee machine has received claims that there is an error in his machine, and it is not dispensing enough hot coffee into hand-held cups. He takes a random sample of 46 “8 oz servings” from a large number of servings and finds that the mean is 7.93 fluid ounces with a standard deviation of 0.38 ounces. Is this evidence of error in the machine if ? = 0.05? Use the P-Value method.
A study was conducted to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction. With a substrate concentration of 1.6 moles per liter, the reaction was run 16 times, with an average velocity of 7.7 micromoles per 30 minutes and a standard deviation of 1.6. With a substrate concentration of 1.9 moles per liter, 12 runs were made, yielding an average velocity of 8.9 micromoles per 30 minutes and a sample standard deviation of 1.2. Is there any reason to believe that this increase in substrate concentration cause an increase in the mean velocity of the reaction of more than 0.5 micromole per 30 minutes? Use alpha 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?
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Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for six specimens under specified conditions, and the resulting mean and standard deviation were 306.03 newtons and 41.91 newtons, respectively. Assuming that it is reasonable to believe that breaking force under these conditions has a distribution that is approximately normal, estimate the mean breaking force for acrylic bone cement under the specified conditions using a 95% confidence interval. (Use a table or technology. Round your answers to three decimal places.) , N
A manufacturer of college textbooks is interested in the strength of the bindings produced by a particular binding machine. Strength can be measured by recording the force required to pull the pages from the binding. Assume the population standard deviation is 0.4pounds. What is the minimum sample size needed to estimate this within 0.1 pounds with 96% confidence?
The article “Approximate Methods for Estimating Hysteretic Energy Demand on PlanAsymmetric Buildings” (M. Rathhore, A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering, 2011: 99–123) presents a method, based on a modal pushover analysis, of estimating the hysteretic energy demand placed on a structure by an earthquake. A sample of 18 measurements had a mean error of 457.8 kNm with a standard deviation of 317.7 kNm. An engineer claims that the method is unbiased, in other words, that the mean error is 0. Can you conclude that this claim is false?
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Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for seven specimens under specified conditions, and the resulting mean and standard deviation were 306.15 newtons and 41.96 newtons, respectively. Assuming that it is reasonable to believe that breaking force under these conditions has a distribution that is approximately normal, estimate the mean breaking force for acrylic bone cement under the specified conditions using a 95% confidence interval. (Round your answers to three decimal places.) , N
A study was carried out to find out if the increase in substrate concentration has an appreciable effect on the rate of a chemical reaction. With a substrate concentration of 1.5 moles per liter, the reaction was performed 15 times, with an average rate of 7.5 micromoles per 30 minutes and a standard deviation of 1.5. With a substrate concentration of 2.0 moles per liter, 12 reactions were performed, yielding an average rate of 8.8 micromoles per 30 minutes and a sample standard deviation of 1.2. Is there any reason to believe that this increase in substrate concentration is due to an increase in the rate of reaction?reason to believe that this increase in substrate concentration causes an increase in the average reaction rate of more than 0.5 micromoles per 30 minutes? Use a significance level of 0.01 and assume that the populations are approximately normally distributed with equal variances.1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test…
A sample of the hourly wages of employees who work in restaurants in a large city has a mean of $5.02 and a standard deviation of $0.09. Using the Empirical rule, find the range in which at least 68% of the data will fall.

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