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A chemical used in the production of an antibiotic is supposed to contain 23% potassium by...

A chemical used in the production of an antibiotic is supposed to contain 23% potassium by weight. A simple random sample of 10 specimens has a sample mean percentage of 23.3. Suppose we know, from prior experience, that the population standard deviation is close to σ = 0.2 and the population is approximately normal. We will have to recalibrate the manufacturing process if the population mean percentage is found to differ from 23. We will test at significance level α = 0.05.

(a) Assumptions

(b) Conduct the test by finding a test statistic and calculating a p-value. Must we recalibrate?

(c) P-value is:

(d) Find the power of the test for a particular µA.

Math   Statistics-And-Probability   
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