In a study of the lifetimes of electronic components, a random sample of 400 components are tested until they fail to function. The sample mean lifetime was 370 hours and the standard deviation was 650 hours. After the calculations, a 95% confidence interval for μ was found to be [306.3,433.7]. According to these information, check all that are true: If one more measurement were made, the probability is 95% that it would be in the interval [306.3,433.7]. An approximate 95% confidence interval for the mean lifetime of this type of component is from 306.3 to 433.7 hours. About 95% of the sample components had lifetimes between 306.3 and 433.7 hours.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a study of the lifetimes of electronic components, a random sample of 400 components are tested until they fail to function. The sample mean lifetime was 370 hours and the standard deviation was 650 hours. After the calculations, a 95% confidence interval for μ was found to be [306.3,433.7]. According to these information, check all that are true:


If one more measurement were made, the probability is 95% that it would be in the interval [306.3,433.7].
An approximate 95% confidence interval for the mean lifetime of this type of component is from 306.3 to 433.7 hours.
About 95% of the sample components had lifetimes between 306.3 and 433.7 hours.
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