Question

A can of soda is labeled as containing 10 Ruld ounces. The quality control manager wants to verify that the fining machine is neither over ng or underling the car. Complete parts a town in below (a) Determine the land alternative hypotheses at would be used to determine if the filling machine is colorated correctly HY (Type integers or decimals. Do not round) (b) The quality control manager obtains a sample of 83 cars and measures the contents. The sample evidence leads the manager to reject the nullypothesis Write a conclusion for this hypothesis test There sufficient evidence to conclude that the machine is out of cabin (c) Suppose, in fact, the machine is not out of calibration. Has a Type 1 or Type Il error been made? has been made since the sample evidence led the quality control manager to the nullypothesis, when the n machine the evidence is overwhelming that the machine is out of calibration. What level of significance would you recommend the (d) Management has informed the quality control department that does not want to shut down o quality control manager to use? Explain The level of significance should be because this makes the probability of Type I error

Answer 1

Ho! 0 - 10 Ha: 0 + 10 (6) Conclusion: The sample of 83 Cans prould Sufficient evidence to conclude that the filling machine is not calibrated correctly je it is either under filling or over filling, so we reject the hulp hy bother' (e) Since machine in xality is not chine in sality is not out of Calibration hull by bothesis is in fact Toue. But as mentioned in bart (b), we rejected hull hy bothesis, when it is frue. So this is type. I error. [ Tybe I error occurs when we accept hull but in reality hell is felise (d) Since, we heed overwhelming evidence to sejeed null by bothe six, we must xdice Sagnificance level from the existing value. for eg. if currently & is 0.05 we can reduce it to 0.05 Significance level specifies the boobability of Commitry Tube Z error, as we have, as mentioned in partic in this Case.