SOLUTION: Apply the Central Limit Theorem to solve the following problem. Assume that cans of soda are filled so that the actual amounts have a mean μ=12 oz. and standard deviation σ

Question 1183823: Apply the Central Limit Theorem to solve the following problem.
Assume that cans of soda are filled so that the actual amounts have a mean μ=12 oz. and standard deviation σ=1.1 oz . Use this information to find the probability that a sample of 36 randomly selected cans will have a mean weight of at least 12.11 oz.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Can use a normal distribution with moderately large sample size.
z>(12.11-12)/1.1/sqrt(36)
>0.11*6/1.1 or >0.6
That probability is 0.2743.
z=(x bar-mean)/sigma/sqrt(n)
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