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Expert: - 12/11/2008


Question
A pharmaceutical manufacturer is concerened that the impurity concentration in pills does not exceed 3% it is know that from a particular production run impurity concentrations follow a normal distribution with standard deviation 0.4% A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%

1. test the null hypothesis at 5% level

2. find the probability of a 5% level test rejecting the nill hypothesis when the treu mean impurity concentration is 3.10 % what is the name of this probability?


Answer
Maximum sought: 0.03
Standard deviation: 0.004
Average generated: 0.0307 (most like will result in it out of range).

The standard normal test is  (x bar - µ)/(σ/√n).

1. There is no need to run a test, since, from what I read, the average measured (3.07%) already exceeds the one desired (3%).  To this, I can say the null hypothesis will fail.

2. Again, the average of 3.1% is higher than the accepted level of 3%, so this the null hypothesis is rejected as well.

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