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An engineer believes a particular component has a fatigue life of 10.pdf

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An engineer believes a particular component has a fatigue life of 10000. In other words, that component should be expected to fail after 10000 uses. He takes a random sample of 43 components and obtains a sample mean of 9900 with a standard deviation of 2250. Is there any evidence that he is overestimating the fatigue life of the components? a. What is the value of the test statistic? (3 decimal places) b.What is the p-value for his test? (3 decimal places) c.How many standard errors from the center of the sampling distribution did the sample mean fall? Use a negative sign if it fell below the center. (3 decimal places) d.What was the probability of obtaining a sample mean of 9900 or less? (3 decimal places).

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An engineer believes a particular component has a fatigue life of 10000. In other words, that component should be expected to fail after 10000 uses. He takes a random sample of 43 components and obtains a sample mean of 9900 with a standard deviation of 2250. Is there any evidence that he is overestimating the fatigue life of the components? a. What is the value of the test statistic? (3 decimal places) b.What is the p-value for his test? (3 decimal places) c.How many standard errors from the center of the sampling distribution did the sample mean fall? Use a negative sign if it fell below the center. (3 decimal places) d.What was the probability of obtaining a sample mean of 9900 or less? (3 decimal places)

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