Lab Ch. 11: M&M Color Lab Names: The M&M/Mars Corporation makes a variety of M&M candies. According to the company, the mix of colors of M&M Plain Chocolate Candies contains 13% Brown, 14% Yellow, 13%...

1 answer below »
Lab Ch. 11: M&M Color Lab Names:
The M&M/Mars Corporation makes a variety of M&M candies. According to the company, the mix of colors of M&M Plain Chocolate Candies contains 13% Brown, 14% Yellow, 13% Red, 24% Blue, 20% Orange and 16% Green.

Objective:
To determine whether the distribution of colors in a sample of M&M candies follows the advertised distribution.


  1. What type of test is this? Explain in 1-3 complete sentences.





  1. What are the null and alternate hypotheses?



:
:


  1. What distribution would you use to conduct the test? Explain in 1-3 complete sentences.




Data Collection

  1. The chart below shows data gathered from a Math 10 class, where several groups of students counted the number of each color of M&M in a bag.



  1. What was the total sample size for the data? n = ________



  1. Based on this total sample size,
    how many
    of each color of M&M would you expect to have if the sample follows the advertised distribution, i.e. if the null hypothesis is true. Fill in the
    second row
    of the chart with these numbers. Round to 2 decimal places































Color

Brown

Yellow

Red

Blue

Orange

Green

Observed
(O)
845577906785

Expected
(E)


TOTAL


Analysis and Conclusion

g. Fill in the
third row
of the chart above to 4 decimal places and fill in the blanks below.
test statistic: = __________________ with df = _______________


  1. Calculate the p-value. Show the p-value with at least 2 significant figures.



p-value = _______________


  1. Graph the situation.
    Label and scale the horizontal axis. Mark the mean and test statistic. Shade the region corresponding to the p-value.


















j. Using a significance level of , what is your decision? Explain how you arrived at your decision.


  1. Write your conclusion in a complete sentence.





  • Discuss your results: Are the entries in the last row all about the same or do any of them stand out as being significantly larger? Did you get more or fewer of a particular color than you expected?

005_7uprapo-5amxhuit.doc
Answered Same DayDec 23, 2021

Answer To: Lab Ch. 11: M&M Color Lab Names: The M&M/Mars Corporation makes a variety of M&M candies. According...

David answered on Dec 23 2021
116 Votes
M&M Color Lab
Lab Ch. 11: M&M Color Lab Names:

The M&M/Mars Corporation makes a variety of M&M candies. According to the company, the mix
of colors of M&M Plain Chocolate Candies contains 13% Brown, 14% Yellow, 13% Red, 24%
Blue, 20% Orange and 16% Green.

Objective: To determine whether the distribution of colors in a sample of M&M candies follows
the advertised distribution.

a. What type of test is this? Explain in 1-3 complete sentences.

Chi square test of goodness of fit would be used to check if the theoretical distribution is
exactly validated by the sample or not.




b. What are the null and alternate hypotheses?
0H :The data is consistent with the specified distribution


Ha :The data is not consistent with the specified distribution.


c. What distribution would you use to conduct the test? Explain in 1-3 complete sentences.

Chi square...
SOLUTION.PDF
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
Have files?