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Determine the percentage of bags that are rejected.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
The masses, measured in grams, of plums of this kind follow the distribution $N(40.4,\,5.2^2)$. These plums are put into bags, and each bag has 6 plums selected at random. A bag is rejected whenever the combined mass of the plums in it is below $220\text{ g}$.