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112 You may need to use the appropriate technology to answer this question. A production line operation is tested for filling weight accuracy using the

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You may need to use the appropriate technology to answer this question. A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action HO: pi = 16 Filling okay; keep running. Ha: .u a 16 Filling off 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? 0 Accepting H0 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. 0 Rejecting H0 and letting the process continue to run when actually over-lling or under-lling exists. 0 Rejecting HD and stopping the process when actually no over-filling or under-lling exisis. (b) What is the probability of making a type II error when the machine is overlling by 0.5 ounces? (Round your answer to four decimal places.) |:l (c) What is the power of the statistical test when the machine is overfilling by 0.5 ounces? (Round your answer to four decimal places.) :1

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