A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation oftO ounce. The manufacturer ofthe machine would like to set the control limit in such a way that, for samples of 44, 5% ofthe sample means will be greater than the upper control limit, and 5% ofthe sample means will be less than the lower control limit. a. At 1t-iihat value should the control limit be set? [Round 2 values to two decimal places. Round your answers to 2 decimal places.} 6 Answer is complete but not entirely correct. (0.25}6 0.25 9 b. lfthe population mean shifts to 18, what is the probability that the change will not be detected? [Round your intermediate calculations to 2 decimal places and nal answer to 4 decimal places] 0 Answer is complete but not entirely correct. 0.19336 c. 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 nal answer to 4 decimal places-1.] 6 Answer is complete but not entirely correct