Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL)

Question

8. Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL

Answer 1

The mean will be normally distributed with mean 101.5, standard deviation 1.6 / √36 = 1.6 / 6

So on a TI-84 to find your probability

2nd vars

normalcdf

lower = -1E99

upper = 102.1

mean = 101.5

standard deviation = 1.6 / 6