Question

A particular fruit's weights are normally distributed, with a mean of 691 grams and a standard deviation of 29 grams.

The heaviest 7% of fruits weigh more than how many grams?

Give your answer to the nearest gram

Answer 1

= 691 , = 29

heaviest 7% of fruits weigh more than how many gram.

which means we want to find 93th percentile.

using normal z table find the z-score for the 0.93

we get,

Z-Score = 1.48

formula for z-score is

x = ( 1.48 * 29 ) + 691

x = 733.92

round answer to the nearest gram

x = 734

heaviest 7% of fruits weigh more than 734 grams.

Answer = 734