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How much juice? One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40bottles and measures the volume of liquid in each bottle.

state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest

Short Answer

Expert verified

H0:=180

Ha:180

Step by step solution

01

Step 1:Given information

How much juice? One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40 bottles and measures the volume of liquid in each bottle.

02

Step 2:Explaination

Claim: mean is180millilitres

The null hypothesis statement is that the population value is equal to the value given in the claim:

H0:=180

The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.

Ha:180

is the mean volume of liquid in all bottles.

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