SOLUTION: Mars Inc, claims 24% of M&M plain candies are blue. Suppose that a sample of 100 M&Ms are randomly selected and 27 are found to be blue. Assuming the claimed blue M&Ms rate of 24%

Algebra ->  Probability-and-statistics -> SOLUTION: Mars Inc, claims 24% of M&M plain candies are blue. Suppose that a sample of 100 M&Ms are randomly selected and 27 are found to be blue. Assuming the claimed blue M&Ms rate of 24%       Log On


   

Question 474201: Mars Inc, claims 24% of M&M plain candies are blue. Suppose that a sample of 100 M&Ms are randomly selected and 27 are found to be blue. Assuming the claimed blue M&Ms rate of 24% is correct, find the probility of randomly selecting 100 M&Ms and getting 27 or more that are blue. Based on your result, is 27 an unusually high number of blue M&Ms when 100 are randomly selected?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
p=24, q=.76, n=100
mu=np=100%2A.24=24
sigma=sqrt%28npq%29=sqrt%28100%2A.24%2A.76%29=4.48
z=(27.5-24)/4.48=3.5/4.48=.781
area under normal curve above z=.781 is .217 the probility of randomly selecting 100 M&Ms and getting 27 or more that are blue. It is not an unusually high result.
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Ed