Question

1)A particular fruit's weights are normally distributed, with a mean of 274 grams and a standard deviation of 35 grams.

The heaviest 6% of fruits weigh more than how many grams?
_________________
Give your answer to the nearest gram.

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.

Answer 1

M = 274 5 - 35 0.06 p( x ) = By Normal approximation- Pl Xoy 0.06 ple xall Plz > *.35) - - 0.06 By ? z table PL 2% +1.55) = 0.06 so, 21-274 35 2= 328.25 so above 328.25 is 6%. Pleae like According to chegs Policy I did only first. Thank you!