Question

A cola-dispensing machine is set to dispense 11 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 35, 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.)

1. At what value should the control limit be set? (Round z values to two decimal places. Round your answers to 2 decimal places.)

2. If the population mean shifts to 10.7, 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.)

3. If the population mean shifts to 11.7, 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.)

Answer 1