2. A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 milliliters. The machine is checked periodically by taking a sample of 9 drinks and computing average content. If x falls in the interval 191
2. A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 milliliters. The machine is checked periodically by taking a sample of 9 drinks and computing average content. If x falls in the interval 191
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
Transcribed Image Text:2. A soft-drink machine at a steak house is regulated so that the amount of
drink dispensed is approximately normally distributed with a mean of 200
milliliters and a standard deviation of 15 milliliters. The machine is checked
periodically by taking a sample of 9 drinks and computing average content.
If x falls in the interval 191 <I< 209, the machine is thought to be
operating satisfactorily; otherwise, we conclude that µ # 200 millilitres.
a. Find the probability of committing a type I error when u + 200 millilitres.
b. Find the probability of committing a type Il error when µ± 215 millilitres
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