Hypothesis Testing: Test Statistic and P-Value
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A pharmaceutical manufacturer is concerned that the mean impurity concentration in pills should not excess 2%. It is known that impurity concentrations follow a normal distribution with a population standard deviation 0.32%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 2.05%.
a. What is the sample test statistic (not the critical value) for the hypothesis test that the population mean impurity concentration is 2% or less against its alternative that is more than 2%?
b. Calculate the p-value for this test.
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Solution Summary
The solution provides a step by step method for hypothesis testing, specifically the calculation of the test statistic and p-value in a given situation.
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