*An experimenter is interested in the hypothesis testing problem with Ho: μ = 420 versus H₂: μ< 420, where u is the average radiation level in a research laboratory. Suppose that a sample of 49 radiation level measurements is obtained and that the experimenter wishes to use o=10.0 for the standard deviation of the radiation levels. (a) What is the rejection region when a-0.01? (b) Suppose that the sample mean is 415.7. What would be the experimenter's decision of the hypothesis test based on the rejection region? (c) What is the p-value for this hypothesis test?

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¹ An experimenter is interested in the hypothesis testing problem with Ho: μ = 420 versus Ha: μ<
420, where μ is the average radiation level in a research laboratory. Suppose that a sample of 49
radiation level measurements is obtained and that the experimenter wishes to use o=10.0 for the
standard deviation of the radiation levels.
(a) What is the rejection region when a=0.01?
(b) Suppose that the sample mean is 415.7. What would be the experimenter's decision of the
hypothesis test based on the rejection region?
(c) What is the p-value for this hypothesis test?
Transcribed Image Text:¹ An experimenter is interested in the hypothesis testing problem with Ho: μ = 420 versus Ha: μ< 420, where μ is the average radiation level in a research laboratory. Suppose that a sample of 49 radiation level measurements is obtained and that the experimenter wishes to use o=10.0 for the standard deviation of the radiation levels. (a) What is the rejection region when a=0.01? (b) Suppose that the sample mean is 415.7. What would be the experimenter's decision of the hypothesis test based on the rejection region? (c) What is the p-value for this hypothesis test?
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