Calculate the margin of error of a confidence interval for the difference between two population means...

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Question

Calculate the margin of error of a confidence interval for the difference between two population means...

Calculate the margin of error of a confidence interval for the difference between two population means using the given information. Round your answer to six decimal places. σ1=7.94 , n1=62, σ2=11.25, n2=53 , c=0.85

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:

Margin of error = Z*sqrt[(σ12 / n1)+(σ22 / n2)]

We are given

σ1 = 7.94

σ2 = 11.25

n1= 62

n2= 53

c = 0.85

Z = 1.43953

(by using z-table)

Margin of error = 1.43953*sqrt((7.94^2/62)+(11.25^2/53))

Margin of error = 2.656237

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Answer 2

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