At Ajax Spring Water, half-liter bottle of soft drink is supposed to contain the mean of 520 ml. The filling procedure follows the normal distribution with the known procedure standard deviation of 4 ml.
(a) Which sampling distribution would you employ if random samples of 10 bottles are to be weighed? Why?
(b) Set up hypotheses and the two-tailed decision rule for the correct mean using the five percent level of significance.
(c) If the sample of 16 bottles shows the mean fill of 515 ml, does this contradict the hypothesis that the true mean is 520 ml?