(d) Show the power curve for this hypothesis test. 3' Power Power 1.0 0.8 0.6 0.4 0.2 0.0 1.0 0.8 0.6 0.4 0.2 0.0 15.4 15.6 15.8 16.0 16.2 16.4 16.6 Possible values of p 15.4 15.6 15.8 16.0 16.2 16.4 16.6 Possible values of p 15.4 15.6 15.8 16.0 16.2 16.4 16.6 Possible values of p Power 1.0 0.8 0.6 0.4 0.2 0.0 15.4 15.6 15.8 16.0 16.2 16.4 16.6 Possible values of p What information does it contain for the production manager? O The power curve shows the probability of rejecting H0 for various possible values of y. In particular it shows the probability of not stopping and adjusting the machine under a variety of under-lling and overlling situations. 6) The power curve shows the probability of not rejecting Ho for various possible values of it. In particular it shows the probability of stopping and adjusting the machine under a variety of underlling and overlling situations. 0 The power curve shows the probability of not rejecting Ho for various possible values of y. In particular it shows the probability of not stopping and adjusting the machine under a variety of unden'illing and overlling situations. 0 The power curve shows the probability of rejecting H0 for various possible values of u. In particular it shows the probability of stopping and adjusting the machine under a variety of underlilling and overlling situations. X You may need to use the appropriate technology to answer this question. A production line operation is tested for lling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action HO: 1,! = 16 Filling okay; keep running. Ha: y i 16 Filling o' standard; stop and adjust machine. The sample size is 30 and the population standard deviation is a = 0.7. Use a = 0.05. (a) What would a type II error mean in this situation? O Rejecting H0 and letting the process continue to run when actually overlling or underlling exists. 0 Rejecting Ho and stopping the process when actually no over-lling or under-lling exists. 0 Accepting H0 and letting the process continue to run when actually over-lling or under-lling exists. Accepting H0 and stopping the process when actually no overfilling or underlling exists. X (b) What is the probability of making a type II error when the machine is overfilling by 0.6 ounces? (Round your answer to four decimal places.) 94 x (c) What is the power of the statistical test when the machine is overlling by 0.6 ounces? (Round your answer to four decimal places.) 0.94 x