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A production line operation is tested for lling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H0: .u = 15 Filling okay; keep

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A production line operation is tested for lling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H0: .u = 15 Filling okay; keep running. Ha: it a 16 Filling of'F standard; stop and adjust machine. The sample size is 30 and the population standard deviation is 0' = 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 over-filling or under-lling exists. O Rejecting HO and stopping the process when actually no overfilling or underlling exisls. Accepting HO and letting the process continue to run when actually over-lling or under-filling exists. 0 Accepting HO and stopping the process when actually no over-lling or under-lling exists. a/ (b) What is the probability of making a type [I error when the machine is overlling by 0.6 ounces? (Round your answer to four decimal places.) 0.9969 x (c) What is the power of the statistical test when the machine is overfilling by 0.6 ounces? (Round your answer to four decimal places.) 0.003122 x

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