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At the 5% significance level, Test whether the population mean mass is 500 grams.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
The expected mean mass of packets of Trueleaf tea is 500 grams. An inspector wants to check whether this figure is accurate. He takes 60 packets at random and records the mass, $x$ grams, of each packet. The results are summarised as follows: $n = 60$, $\sum x = 29970$, $\sum x^2 = 14970300$.