Question

PLS HELP

13. A box contains about 250 marbles in 5 different colors. James selected a random sample of 30 marbles and counted 16 red, 5 blue, 5 green, 3 white, and 1 yellow.
Which statement is NOT a valid inference about all of the marbles in the box?

There is exactly 1 yellow marble in the box.

There are about 25 white marbles in the box.

There are about the same number of blue and green marbles.

There are more red marbles than any other color.

Answer 1

Invalid statement: There is exactly 1 yellow marble in the box

Explanation:

The probability of finding a yellow marble is Py = 1/30, according to the sample. Then, the number of yellow marbles expected to find in the box is:

N x Py > 1 ,

where N = 250 (number of marbles in the box).

Thus, we expect to find more than one yellow marble in the box and the Invalid statement is: "There is exactly 1 yellow marble in the box".