Please solve this by hand and also with r-studio code not the excel output please. An experimenter is interested in the hypothesis testing problem with H0: 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 σ=10.0 for the standard deviation of the radiation levels. (a) What is the rejection region when α=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?

Please solve this by hand and also with r-studio code not the excel output please. An experimenter is interested in the hypothesis testing problem with H0: 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 σ=10.0 for the standard deviation of the radiation levels. (a) What is the rejection region when α=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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

Please solve this by hand and also with r-studio code not the excel output please.

An experimenter is interested in the hypothesis testing problem with H0: 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 σ=10.0 for the
standard deviation of the radiation levels.
(a) What is the rejection region when α=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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