Acola-dispensing machine is set to dispense 10 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 50, 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.
a. at what value should the control limit be set? (round z values to two decimal places. round your answers to 2 decimal places.)value should be in between . if the population mean shifts to 9.7, what is the probability that the change will be detected? (round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)probability .if the population mean shifts to 10.5, what is the probability that the change will be detected? (round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)