Question
An advertiser claims that the average percentage of brown M&M'S candies in a package of milk...
An advertiser claims that the average percentage of brown M&M'S candies in a package of milk chocolate M&M'S is 14%. Suppose you randomly select a package of milk chocolate M&M'S that contains 54 candies and determine the proportion of brown candies in the package.
(a) What is the approximate distribution of the sample proportion of brown candies in a package that contains 54 candies?
The distribution is approximated by a normal distribution with mean 0.14 and standard deviation 0.86.The distribution is approximated by a normal distribution with mean 14 and standard deviation 0.0472. The distribution is approximated by a normal distribution with mean 7.6 and standard deviation 756.The distribution is binomial and cannot be approximated.The distribution is approximated by a normal distribution with mean 0.14 and standard deviation 0.0472.
(b) What is the probability that the sample percentage of brown
candies is less than 20%? (Round your answer to four decimal
places.)
(c) What is the probability that the sample percentage exceeds 33%?
(Round your answer to four decimal places.)
(d) Within what range would you expect the sample proportion to lie
about 95% of the time? (Round your answers to two decimal
places.)
Homework Answers
Answer #1
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