3335 Cans of regular soda have volumes with a mean of 1311 o

3.3.35 Cans of regular soda have volumes with a mean of 13.11 oz and a standard deviation of 0.12 oz. Is it unusual for a can to contain 13.23 oz of soda?

Solution

The value 13.23 lies on the boundary of one standard deviation of the distribution.

Assuming the distribution to be normal, the probability of finding the value within one standard deviation of mean = 0.68.

So, this is a large value. Hence, it is not unusual for a can to contain 13.23 oz of soda.