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There is a sample of 20 pieces of which we want to control the weight. The...

There is a sample of 20 pieces of which we want to control the weight. The average weight is 53 grams and its standard deviation is 5 grams. We know that if the process function well the average weight should be 55 grams. With a level of significance of 5%, is the weight of the pieces less?

a) What type is this? (average, proportion, difference of averages, difference of proportions, variance)

b) p-value of the contrast?

c) conclusion, is the weight of the pieces less? (yes or no)

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