Calculate the observed percentage for each color

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Reference no: EM132191037

The Mars Company, the maker of M&M’s, recently claimed that M&M’s were so much fun because they were a perfect rainbow, that is, each bag they made contained equal numbers of each of the five colors.

An enterprising student decided to test this and bought one small bag, chosen at random.

The number of M&M’s found for each color was:

Brown: 19

Blue: 5

Green: 5

Orange: 9

Yellow: 10

Perform a hypothesis test and state your conclusions about Mars’ claim.

1. State your Null Hypothesis – use words, not just a percentage.

2. Find the standard deviation using claim percentage as p and the survey size as n.

3. Calculate the observed percentage for each color and enter your answers. Round your answers to one decimal place.

4. Compare your observed percentages to the interval of p± 2?. Construct the proper sentence either rejecting or not rejecting the null hypothesis.

5. Write a short concluding statement in your own words.

6. If the colors were in equal numbers, what would be the probability (in percent form) that a random sample of 48 M&M’s will have the above proportion of brown ones? (Hint: Go back to the Normal Distribution Curve and look at the probabilities under the curve.)

No need to perform another hypothesis test here.

Reference no: EM132191037

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