An engineer has designed a valve that will regulate water pressure on an automobile engne. The valve was tested on 130 engines and the mean pressure was 5.1Ibs/square inch. Assume the variance is known to be 0.25 if the valve was designed to produce a mean pressure of 5 lbs/square inch, is there sufficient evidence at the0.05 level that the valve performs above the specifications?State the null and alternative hypotheses for the above scenarioAnswerHoH₂TablesKeypadKeyboard Shortcuts

given data n = 130 x¯ = 5.1σ2 = 0.25α = 0.05claim : μ > 5we have to state null and alternative…

Answered: An engineer has designed a valve that…

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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You wish to determine the average VO2max (maximum rate of oxygen consumption, often associated with athletic performance) of a sample of 100 Olympic athletes, and to use a quantitative metric to assess your confidence in the average (mean) value. You calculate a mean of 71 ml/kg/min and a variance of 26.06 from your sample. Question: What are the standard error of the mean (SEM) and the approximate 95% CI of the mean?
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.6 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 1313 samples is 7.2 ppm with a variance of 0.49 Assume the population is normally distributed. A level of significance of 0.02 will be used. Make the decision to reject or fail to reject the null hypothesis.
H0 : =150.00 kPa H1 :>150.00 kPa b) α= 0.01; sample variance : 1300 freq. table sample deviation : 36.0555 freq. table
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
An automobile parts supplier owns a machine that produces a cylindrical engine part. This part is supposed to have an outside diameter of three inches. The technical staff feels that the mean diameter produced by the machine is off target. In order to verify this, a special study will randomly sample 40 parts produced by the machine. The 40 sampled parts will be measured, and if the results obtained cast a substantial amount of doubt on the hypothesis that the mean diameter equals the target value of three inches, the company will assign a problem-solving team to intensively search for the causes of the problem. Formula the hypotheses so that the problem-solving team will be assigned when the null hypothesis is rejected. A sample of 40 parts yields a sample mean diameter of 3.006 inches. Assume that the population standard deviation equals 0.016 inches. (1) Use the critical value approach to test H0 versus Ha when α = 0.05. (2) Use the p-value approach to test H0 versus Ha when α =…
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