Question

A sample of size n = 68 is drawn from a population whose standard deviation is...

A sample of size n = 68 is drawn from a population whose standard deviation is σ = 23.Find the margin of error for a 99% confidence interval for the mean μ.

Group of answer choices

2.789

5.467

0.8713

7.185

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Population standard deviation =    = 23
Sample size = n =68

At 99% confidence level the z is ,

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576   ( Using z table )

Margin of error = E = Z/2* ( /n)

= 2.576 * (23 / 68)

= 7.185

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