Cans of regular soda have volumes with a mean of 13.41 oz and a standard deviation of 0.12 oz. Is it unusual for a can to contain 13.49 oz of​ soda?

Question

Cans of regular soda have volumes with a mean of 13.41 oz and a standard deviation of 0.12 oz. Is it unusual for a can to contain 13.49 oz of​ soda?

Minimum​ "usual" value= _____ oz

Answer 1

Compute z = (13.49 - 13.41)/0.12 = 0.67

13.49 is only 0.67 standard deviations above mean, so not unusual.

minimum usual value would be 2 standard deviations below the mean of 13.41 - 2*0.12 = 13.17.