Round figures to 2 decimal places. The tolerance for numeric answers is 0.01. Statistical tables are available at this link A machine fills milk into 500ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the setpoint gy = 500. A random sample of 15 packages filled by the machine are collected. The sample mean y is equal to 508.1 and the unbiased sample variance 52 is equal to 588.29. Questions a. Under which of the following assumptions is approximate inference feasible? O Normality of the population O Moderately skewed population O Larger sample size O No assumptions are required b. Test the hypothesis that the amount filled corresponds on average to the setpoint. What is the absolute value of the test statistic? Test statistic: c. How large is the p-value of the test? O p>0.1 O 0.05

3.50, the probability is greater than or equal to 0.9998