Starnuts needs their automatic filling machine to put 20 ounces of volumizing shampoo in each bottle on average. Shutting down the machine is very costly, but the company will do this if there is very strong evidence that the fill rate is significantly different than 20 ounces (both underfilling and overfilling). Hence, the management wants to design a hypothesis test to see if there exists strong evidence that the average fill is different from 20 ounces. a) What parameter do we test for? b) What are the appropriate null and alternative hypotheses?

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Starnuts needs their automatic filling machine to put 20 ounces of volumizing
shampoo in each bottle on average. Shutting down the machine is very costly, but
the company will do this if there is very strong evidence that the fill rate is
significantly different than 20 ounces (both underfilling and overfilling). Hence,
the management wants to design a hypothesis test to see if there exists strong
evidence that the average fill is different from 20 ounces.
a) What parameter do we test for?
b) What are the appropriate null and alternative hypotheses?

Expert Solution
Step 1

(a)

 

Determine about the parameter of the population.

 

The parameter of the population interest is determined below as follows:

 

It is clear that the parameter is the number that describes or indicates about the population. Moreover the population parameter considers a numerical value representing the population.

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