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?

Maximum​ "usual" value= ______ oz

​(Type an integer or a​ decimal.)

Answer 1

Usual values fall within 2 standard deviations of the mean.

Since the mean is 13.41 oz and the standard deviation is 0.12 oz, we can calculate the limits by adding/subtracting 2 standard deviations:

Lower: 13.41 - 2(0.12) = 13.41 - 0.24 = 13.17 oz

Upper: 13.41 + 2(0.12) = 13.41 + 0.24 = 13.65 oz

Since 13.49 falls within the range 13.17 through 13.65, it would not be unusual to have a can with 13.49 oz.