A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 214.5-cm and a standard deviation of 2.4-cm. Suppose a rod is chosen at random from all the rods produced by the company. There is a 97% probability that the rod is longer than: __________________ Enter your answer as a number accurate to 1 decimal place.
1)A company produces steel rods. The lengths of the steel rods are
__________________
Enter your answer as a number accurate to 1 decimal place.
2)A company produces packets of soap powder labeled "Giant Size 20 oz." The actual weight of soap powder in such a box has a Normal distribution with a mean of 21 oz and a standard deviation of 0.7 oz. To avoid dissatisfied customers, a box of soap is considered underweight if it weighs less than 20 oz. To avoid losing money, the top 5% (the heaviest 5%) is labeled overweight.
How heavy does a box have to be in order for the box to be labeled overweight?
____________________ oz Round to 2 places.
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