A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a Normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight.
1.) How heavy does a box have to be for it to be labeled overweight?
A) 31.85 oz
B) 34.15 oz
C) 31.60 oz
D) 34.40 oz
2.) According to the 68-95-99.7 Rule, what percent of z-scores are below -1?
A) 16%
B) 68%
C) 64%
D) 32%