Explain in simple language what power 0.24 means. explain, Ask an Expert

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You manufacture and sell an iron rod whose electrical conductivity is supposed to be 10.1. You plan to make 6 measurements of the conductivity of a rod you plan to sell. You know that the standard deviation of your measurements is σ = 0.1. If the product meets specifications, the mean of many measurements will be 10.1. You will therefore test

If the true conductivity is 10.15, the rod is not suitable for its intended use. You learn that the power of your test at the 5% significance level against the alternative μ = 10.15 is 0.24.

(a) describe in simple language what "power = 0.24" means.
(b) describe why the test you plan will not adequately protect you against selling a rod with conductivity 10.15.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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