Suppose the population standard deviation is σ = 5 σ=5 , an SRS of n = 100 n=100 is obtained, and the confidence level is chosen to be 98%. The margin of error for estimating a mean μ μ is given by:

The margin of error for estimating a mean μ is 1.1625.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

So

The margin of error for estimating a mean μ is 1.1625.

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step-by-step explanation:

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation: