SOLUTION: Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E. c=0.98​, σ=9.1​, and E=2 Assume that a preliminary sample has at least 30 me

Algebra ->  Probability-and-statistics -> SOLUTION: Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E. c=0.98​, σ=9.1​, and E=2 Assume that a preliminary sample has at least 30 me      Log On


   

Question 1178987: Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E.
c=0.98​, σ=9.1​, and E=2
Assume that a preliminary sample has at least 30 members.
n=
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
c=0.98​, σ=9.1​, and E=2
Assume that a preliminary sample has at least 30 members: z(.98 CI) = 2.326
z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29+=+sqrt%28n%29%28ME%29%2Fblue%28sigma%29  OR  n = %28z%2Ablue%28sigma%29%2FME%29%5E2
 n = (2.326*9.1/2)^2 = 103.5  
minimum sample size n needed:  104

Wish You the Best in your Studies.
 = CI	z = value
90%	z =1.645
92%	z = 1.751
95%	z = 1.96
98%	z = 2.326
99%	z = 2.576