Question

A strawberry farmer in Poteet knows that 1/8 of his strawberries are typically not fit to sell at the market (either because they went bad or are too unusually shaped). The farmer takes a random sample of 156 strawberries to inspect for the upcoming farmer's market and finds that 24 are unfit to sell. If he were to go back and pick 1000 more strawberries to inspect for the market, how would the standard deviation of the sample proportion be affected

Answer 1

It would be smaller.

Explanation:

Given that :

The number of the strawberries that are unfit for sell, x = 24

The total number of the strawberries to inspect, n = 156

Total number of the strawberries to be picked = 1000 strawberries

Therefore,

`$\widehat p =(x)/(n)$`

`$=(24)/(156)$`

= 0.1538

`$\widehat p =(x)/(n)$`

`$=(24)/(1000)$`

= 0.024

Therefore, the standard deviation of the sample proportion would be smaller.