Q1. A pharmaceutical manufacturer is concerned about the impurity concentration in batches of drug and is anxious that the mean impurity doesn't exceed 2.5%. It is known that impurity concentration follows a normal distribution. A random sample of 10 batches had the following concentrations. 2.1 1.9 2.4 2.3 2.6 1.5 2.8 2.6 2.7 1.8 Test at a significance level a = 0.05 that the population mean concentration is at most 2.5.

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A: It is given that  μ = 79.9 z = 3.91 σ = 4.8

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