A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bottles follows a normal distribution with mean 16.05 ounces with a standard deviation of .3 ounces.

If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the means calculated should occur in what interval?

Hint:the standard deviation rule says that 95% of the observations are within how many standard deviations away from the mean?

Round answers to four decimal places.