question archive State the null hypothesis and alternate hypothesis for the following: A machine on a production line is set to automatically fill each bottle with 500 mL of water

State the null hypothesis and alternate hypothesis for the following: A machine on a production line is set to automatically fill each bottle with 500 mL of water

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State the null hypothesis and alternate hypothesis for the following:

A machine on a production line is set to automatically fill each bottle with 500 mL of water. The quality control manager regularly takes random samples of the bottles from the production line to ensure that the machine is filling the bottles correctly. If not, the machine will need adjusting. 

In the first blank, state the sign, and in the second blank, state the number.

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Hypotheses:

Null hypothesis:

H0 : μ = 500

 

Alternative hypothesis:

H1 : μ 500

 

Null hypothesis

H0 : The machine fills automatically at 500 ML

 

Alternative hypothesis:

H1: The machine fills differently from 500 ML