Question

An Apple producer sells their product in bags that each contain 16 apples. These apples have a mean weight of 80 grams and a standard deviation of 5 grams. Suppose that each bag represents an SRS of apples, and we calculate the sample mean weight of the apples in each bag. What is the mean and standard deviation of the sampling distribution?

Answer 1

Mean: 80 grams

Standard Deviation: 1.25 grams

The mean stays the same.

How to find standard deviation in this case would be:

SD divided by the squareroot of the sample.

So, 5/
`√(16)` = 1.25

I hope this helps!