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Question 8: (10 marks) A machine at AMT & Co. lls 120-ounce jugs with laundry softener....

Question 8: A machine at AMT & Co. lls 120-ounce jugs with laundry softener. A quality control inspector wishes to test if the machine underlls the jugs or not. Assume the distribution of the amount of laundry softener in these jugs is Normal. Under standard” circumstances, the mean amount should be 120 ounces with a standard deviation of 1 ounce. a. (2 mark) What are the hypotheses the quality control inspector wishes to test? b. Suppose the quality control inspector wishes to conduct the test using = 0:10 and a sample size of 40. What is the range of values of x for which he will accept H0? c. Suppose the quality control inspector wishes to conduct the test using = 0:10 and a sample size of 40. If the true mean amount of detergent in these jugs is 119.5 ounces, what is the power of the test? d. If the observed sample mean amount in the simple random sample of 40 jugs equals 119.62 ounces, nd the P-value.v

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