Question

13)

The distribution below is that of the proportion of blue M&Ms in 10,000 random samples of size 100 selected from a large population of M&Ms. As shown, the mean of the sample proportions is approximately 0.25, and the standard deviation of the sample proportions is approximately 0.04.

Based on the mean and standard deviation, the typical sample proportions range from:

Group of answer choices

0.17 to 0.33

0.25 to 0.33

0.21 to 0.29

none of the other 3 answers

Answer 1

Solution:

Given: the mean of the sample proportions is approximately 0.25, and the standard deviation of the sample proportions is approximately 0.04.

We have to find  the typical sample proportions range, that is find range of proportion within 2 standard deviation from mean of proportion.

Thus find:

and

Thus correct answer is: 0.17 to 0.33