(Solution) - A sample of 29 measurements of radiation levels in a -(2025 Original AI-Free Solution)

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A sample of 29 measurements of radiation levels in a research laboratory taken at random times has a sample mean of x- = 415.7. If an experimenter wishes to use a "known" value a = 10.0 for the standard deviation of these radiation levels based upon prior experience, find the value of C for which ? ? (-?, c) is a one-sided 99% confidence interval for the mean radiation level ?. Is it plausible that the mean radiation level is larger than 418.0?