SOLUTION: 3. Assume that a sample is drawn and z(α/2) = 1.65 and σ = 20. Answer the following questions: (A) If the Maximum Error of Estimate is 0.04 for this sample, what woul

Algebra ->  Probability-and-statistics -> SOLUTION: 3. Assume that a sample is drawn and z(α/2) = 1.65 and σ = 20. Answer the following questions: (A) If the Maximum Error of Estimate is 0.04 for this sample, what woul      Log On


   

Question 663733: 3. Assume that a sample is drawn and z(α/2) = 1.65 and σ = 20. Answer the following questions:
(A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?

(B) Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate?

(C) What happens to the Maximum Error of Estimate as the sample size gets larger?

(D) What effect does the answer to C above have to the size of the confidence interval?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

90% confidence Interval z(α/2) = 1.65   and SD = 20

ME = 1.65(20/sqrt(n)

sqrt(n) = 1.65*20/.04 = 825 , n^2 = 380,625



ME = 1.65*20/sqrt(400) = 1.65

(C) What happens to the Maximum Error of Estimate as the sample size gets larger? ME  gets smaller



 (D) What effect does the answer to C above have to the size of the confidence interval? gets smaller as well



  mean - ME < mu < mean + ME



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