Mariam grows bananas and sells them to various fruit stores

- Mariam grows bananas and sells them to various fruit stores. The mean banana weight is 60 g., unfortunately these stores won\'t accept any bananas that weigh less than 50g.

If 10% of bananas weigh less than 50g and get rejected, find the standard deviation of banana weights assuming that the weights follow a Normal distribution.

Solution

For a left tailed area of 0.10, using table/technology, the corresponding z score is

z = -1.281551566

Thus, as

z = (x - u) / s

--> s = (x - u)/z = (50 - 60) / (-1.281551566)

s = 7.803041458 [ANSWER]