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=8.38

, n1=113, σ2=11.63, n2=105, c=0.99

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

n1 = 113

n2 = 105

1 = 8.38

2 = 11.63

c= 0.99

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = Z/2 * (12 / n1) + (22 / n2 )

= 2.576 * (8.382 / 113) + (11.632 / 105)

= 3.559744

Margin of error = 3.559744

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