Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

The stated mean mass of Trueleaf tea packets is 500 grams. An inspector wants to check whether this figure is accurate. He measures 60 packets chosen at random and records the mass, $x$ grams, of each packet. The data are summarised by: $n = 60$, $\sum x = 29970$, $\sum x^2 = 14970300$.
(main)[8]

At the 5% significance level, test whether the population mean mass is 500 grams.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sample mean: $\hat{\mu}=499.5=\frac{29970}{60}$

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