Question: An automatic bottling machine fills cola drink into 2-liter bottles. A consumer group wants to test whether the filling volume is according to the

An automatic bottling machine fills cola drink into 2-liter bottles. A consumer group wants to test whether the filling volume is according to the specification or not. A random sample of 20 bottles was taken from the filling machine and measured the exact content of each bottle. The sample mean was 1.95 liters. The producer had provided that the standard deviation of the filling volumes was 0.12 liters according to the previous experience. Also, it was identified that the filling volumes were distributed normally. At 5% level of significance what might be the conclusion of the consumer group?
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