Question: An automatic bottling machine fills oil into 2-liter (2,000cm3) bottles. A consumer advocate wants to test the null hypothesis that the average amount filled by

An automatic bottling machine fills oil into 2-liter (2,000cm3) bottles. A consumer advocate wants to test the

null hypothesis that the average amount filled by the machine into a bottle is at least 2,000cm3. A random sample

of 40 bottles coming out of the machine was selected and the exact contents of the selected bottles are recorded.

The sample mean was 1,999.6cm3. The population standard deviation is known from past experience to be 1.30cm3.

(a) Test the null hypothesis at an of 5%.

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