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The mean caffeine content μ of a certain energy drink is under examination. A measure taken...

The mean caffeine content μ of a certain energy drink is under examination. A measure taken on a random sample of size n = 16 yieldsx̄ = 2.4 g/l.

  1. (a) Assuming that the standard deviation is known to be σ = 0.3, find the 95 confidence interval for μ.

  2. (b) If that the standard deviation is unknown but the sample standard deviation is s = 0.3, find the 95 confidence interval for μ.

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