Makers of Sweet Sips 100% fruit drink have found that their filling machine will fill a bottle with a standard deviation of 0.75 oz. The control on the machine will change the mean value but will not affect the standard deviation.
a. Where should they set the mean so that 90% of the bottles have at least 12 oz of fruit drink in them?
b. If a fruit drink bottle can hold 13.5 oz before overflowing, what percentage of the bottles will overflow at the setting suggested in 8a?