SOLUTION: 2-Shake 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,

Algebra ->  Probability-and-statistics -> SOLUTION: 2-Shake 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,      Log On


   

Question 1177651: 2-Shake 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution: µ=24 grams and σ=5 grams
Sample:  n = 50 
P(x̄ > 25grams) = 1 - P(x ≤ 25)  
1 -  P( z ≤ blue+%2825+-+24%29%2Fblue%285%2Fsqrt%2850%29%29 = 1 - P(z≤  1.4142) = 1 - .9213 = .0787
Wish You the Best in your Studies.