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A detergent company, packs the products in 3 kg bags. The average weight distr...

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A detergent company, packs the products in 3 kg bags.

The average weight distribution of the bags is known to be normal, with a standard deviation of ± 150 grams.

A sample of 16 detergent bags shows an average weight of a 2.95 kg per bag.

At a 5% significance threshold, do the test of the null hypothesis according to which the average weight of a bag is 3 kg.

This statistical test for product quality control is:

.

The calculated critical report CR (with 2 decimals) is .

The theoretical value of the

distribution at a 5% significance threshold is (in absolute terms, using 2 decimals) .

The critical ratio CR calculated in absolute value is

than the theoretical value to compare and we
the hypothesis
.

We can say that

to the standard of 3 lg/bag.

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