Mathematics
Mathematics, 16.04.2020 02:55, sally8177

A major car manufacturer wants to test a new engine to determine if it meets new air pollution standards. The company decided to do a test of significance using z-test statistic. The mean emission n of all engines of this type must be approximately 20 parts per million of carbon. If it is higher than that, they will have to redesign parts of the engine. Ten new engines are randomly selected for testing purposes and the emission level of each is determined. Based on data collected over the years from a variety of engines, it seems reasonable to assume that emission levels of all new engines are roughly Normally distributed with sigma = 3. What is the alternative hypothesis? mu = 20 mu notequalto 20 mu > 20 mu < 20 None of these. Are all three simple conditions met to perform a z-test of significance? Yes, all three simple conditions are reasonably met. No, since the sample size is small. No, since the sample mean was not given. No, since the population is having Normal distribution. No, since the standard deviation of the sample was not given. Suppose that the data from ten engines result in an average of 22 parts per million of carbon. What is the value of the test statistic? z = 0.211 z = 0.667 z =-0.667 z = -2.11 z = 2.11 What is your recommendation as a conclusion of this test of significance at the level of significance 5%? The new engine has better performance. The new engine met the new air pollution standards, They should redesign parts of the engine. More information is required.

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