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Making the Alternative and Null Hypotheses Statements Austin’s company manufactures test tubes. He needs his tubes...

Making the Alternative and Null Hypotheses Statements

Austin’s company manufactures test tubes. He needs his tubes to be exactly 4.0 mm in diameter. If they are too narrow or too wide, he must recalibrate his machine. Austin randomly measured 150 tubes off the production line in order to perform a hypothesis test.

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Answer #1

For the given scenario, the null and alternative hypotheses are given as below:

Null hypothesis: H0: The average diameter of tubes is 4.0 mm.

Alternative hypothesis: Ha: The average diameter of tubes is different from 4.0 mm.

H0: µ = 4.0 versus Ha: µ ≠ 4.0

This is a two tailed test.

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