A can of soda is labeled as containing 14 fluid ounces. The quality control manager wants to verify that the filling machine is not over-filling the cans. Complete parts (a) through (d) below. . . . (a) Determine the null and alternative hypotheses that would be used to determine if the filling machine is calibrated correctly. Hy : (Type integers or decimals. Do not round.) (b) The quality control manager obtains a sample of 81 cans and measures the contents. The sample evidence leads the manager to reject the null hypothesis. Write a conclusion for this hypothesis test. There sufficient evidence to conclude that the machine is out of calibration. (c) Suppose, in fact, the machine is not out of calibration. Has a Type I or Type II error been made? A has been made since the sample evidence led the quality-control manager to the null hypothesis, when the is true. (d) Management has informed the quality control department that it does not want to shut down the filling machine unless the evidence is overwhelming that the machine is out of calibration. What level of significance would you recommend the quality control manager to use? Explain. The level of significance should be because this makes the probability of Type I error