Orange M&M;\'s: The M&M;\'s web site says that 20% of milk chocolate M&M; s are

Question

Orange M&M;'s: The M&M;'s web site says that 20% of milk chocolate M&M; s are orange. Let's ass me this is true and set up a s small packets of milk chocolate M&M;'s. Each packet contains 55 candies. We made this dotplot of the results. ulation to m mic buying 200 0.0 0.1 02 03 0.405 Proportion Orange Now suppose that we buy a small packet of M&M;'s. We find that 9% (5 of the 55) of the M&M;'s are orange. What can we conclude from the sampling distribution? This result is surprising because it is unlikely that we will select a random sample with only 9% orange candies if 20% of milk chocolate M&M;'s are orange. This result is not surprising because we expect to see many samples with less than 9% orange candies. This result is not surprising because random samples are expected to vary. This result is surprising because we expect the orange candies to make up at least 20% of the candies in a packet

Explanation / Answer

Pr (M & M are orange) = 0.20

Here sample size = 200

Now we buy a small packet of M & M's. Here 9% of the M & M's are orange.

Here we can see that getting samples below 9% or say sample proportion 0.09 or less is very less probabile.

There are only 7 dots out of 200 for proprotion 0.09 or less

Pr(p < = 0.09) = 7/200 = 0.035 < 0.05

so yes, it is unusual that we will select a random sample with only 9% orange candles if M & M's orange percent is 20%.

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