A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard...

A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer of the machine would like to set the control limit in such a way that, for samples of 34, 5% of the sample means will be greater than the upper control limit, and 5% of the sample means will be less than the lower control limit.

At what value should the control limit be set? (Round z values to two decimal places. Round your answers to 2 decimal places.)
If the population mean shifts to 7.6, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
If the population mean shifts to 8.7, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

Expert Solution

milcah answered 9 months ago

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