Question

A particular fruit's weights are normally distributed, with a mean of 299 grams and a standard deviation of 10 grams. The heaviest 3% of fruits weigh more than how many grams? Answer = (Give your answer to the nearest gram.)

Answer 1

Solution:

Given that,

mean = =299

standard deviation = = 10

Using standard normal table,

P( Z > z) = 3%

P(Z > z) = 0.03

1 - P( Z < z) = 0.03

P(Z < z) = 1 - 0.03

P(Z < z) = 0.97

z = 1.88

Using z-score formula,

x = z * +

x = 1.88 * 10 + 299

x = 317.8

The heaviest 3% of fruits weigh more than 318 grams