SOLUTION: 2-Burger Shack claims that the mean number of grams of fat, µ, in its Lotta Burger is 24 grams with a standard deviation, σ, of 5 grams. If a sample of 50 Lotta Burgers is taken

Question 1177702: 2-Burger Shack claims that the mean number of grams of fat, µ, in its Lotta Burger is 24 grams with a standard deviation, σ, of 5 grams.
If a sample of 50 Lotta Burgers is taken,
a- what is the probability that the sample mean is 25 grams or more?
b- what is the probability that the sample mean is between 25 grams and 27 grams?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x bar-mean)/sigma/sqrt(n)
a. z > 1/5/sqrt(50) or sqrt(50)/5 or > 1.41, probability is 0.0786
b. z is between sqrt(50)/5 and 3sqrt(50)/5, or between 1.41 and 4.24 for probability 0.0786

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