Measurements of the conductivity of a rod

Reference no: EM1386671

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) Explain in simple language what "power = 0.24" means.

b) Explain why the test you plan will not adequately protect you against selling a rod with conductivity 10.15.

Reference no: EM1386671

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