The little pub

In an unnamed Prague pub, the Czech Trade Inspection (ČOI) measured draft large beers. From thirty measured half-liters, the sample mean was 0.457085 l and the sample standard deviation was 0.00303. Test at the 1% and 5% significance level the hypothesis that the bartender pours the correct measure (i.e., against a two-sided alternative). The relevant quantiles of the normal distribution are u(0.975)=1.95996, u(0.995)=2.5758.

Final Answer:

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