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A company would like to advertise that their new fishing line has an average breaking strength greater than 15 kilograms. The lines breaking strength is known to vary in the population on average 2.8 kilograms. To test the breaking strength of their new product the company takes a random sample of 50 lines, the average strength measure is 16.1 kilograms. What type of procedure should they use to test whether there evidence that the average strength of the new fishing line is greater than 15 kilogram.

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Answer:

A right-tailed test should be used to test whether there evidence that the average strength of the new fishing line is greater than 15 kilogram.

Explanation:

Type of procedure:

We want to test if the breaking strength is greater than a value, which means that the type of procedure used to solve this question is a right-tailed test, which is when we find the probability of having a mean higher than the sample mean found.

Other types of procedures:

Not related to this question speficially, but to similar problems.

To test if a measure is less than another measure, the procedure used is a left-tailed test.

To test if a measure is different from another measure, the procedure used is a two-tailed test.

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