Question

Imagine that you have a very large barrel that contains tens of thousands of M&M's. According to the official M&M website, 20% of the M&M's produced by the Mars Corporation are orange. 5 students each take a random sample of 50 M&M's and record the percentage of orange in each sample.

1. Which sequence is the most plausible for the percent of orange candies obtained in these samples?
O 020%, 20%, 20%, 20%, 20%
O 15%, 25%, 22%, 20%, 28%
O 5%, 80%, 8%, 65%, 70%
O Any of the above

Answer 1

Explanation:

15%, 25%, 22%, 20%, 28%

Answer 2

(A)20%, 20%, 20%, 20%, 20%

Explanation:

We are told that 20% of the M&M's produced by the Mars Corporation are Orange in color. If 5 students take a random sample of 50 M&M's, the most plausible percentage of orange candies that will be obtained is:

20%, 20%, 20%, 20%, 20%

This is as a result of the fact that in research experiments, a sample is a representation of the whole. Any result which holds for a random sample should hold for the total population and vice versa.