A quality control expert at a drink bottling factory took a random sample of bottles from a batch and measured the amount of liquid in each bottle in the sample. The amounts in the sample had a mean of 503 mL and a
standard deviation of 5 mL. They want to test if this is convincing evidence that the mean amount for bottles in
this batch is different than the target value of 500 mL.
Let u be the mean amount of liquid in each bottle in the batch.
Which of the following is an appropriate set of hypotheses for their significance test?