A cola-dispensing machine is set to dispense 10 ounces of cola per cup, with a standard deviation of 0.8 ounce. The manufacturer of the machine would like to set the control limit in such a way that, for samples of 42, 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

and

b.	If the population mean shifts to 9.8, what is the probability that the change will be detected?(Round your intermediate calculations to 2 decimal places and finalanswer to 4 decimal places.)

Probability

c.	If the population mean shifts to 10.4, what is the probability that the change will be detected?(Round your intermediate calculations to 2 decimal places and finalanswer to 4 decimal places.)

Probability