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

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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. 	What type of test is this? Explain in 1-3 complete sentences.   	What are the null and alternate hypotheses?  :: 	What distribution would you use to conduct the test? Explain in 1-3 complete sentences.   XXXXXXXXXXData Collection   	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.     	What was the total sample size for the data?  n = ________     	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) 			84 			55 			77 			90 			67 			85 			 		 		 			 			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 = _______________ 	Calculate the p-value. Show the p-value with at least 2 significant figures.  p-value = _______________ 	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. 	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?

David · Accepted Answer

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.

Color	Brown	Yellow	Red	Blue	Orange	Green
Observed (O)	84	55	77	90	67	85
Expected (E)
	TOTAL

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%...

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