A cola dispensing machine is set to dispense 9 oz. of cola per cup, with a standard deviation of 1 oz. The manufacturer sould like to set the control limit in a way that , for samples of 32, 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?
"Values should be inbetween ____ and ____"
b) What is the probability that if the population mean shifts to 8.6, this change will not be detected?
c) What is the probability that if the population mean shifts to 9.7, this change will not be detected?