Question
In: Statistics and Probability
Provide an example of What happens to the confidence interval if you (a) increase the confidence...
Provide an example of
What happens to the confidence interval if you (a) increase the confidence level, (b) increase the sample size, or (c) increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula. .
Solutions
Expert Solution
The formula for the confidence interval for example for the mean is given by:
where the critical value corresponds to critical values
associated to the Normal distribution. The critical values for the
given α is 
and M.E is the margin of error.
a) Increase the confidence level, then the critical value
will increase as well.
This will lead to the width of the confidence interval increasing.
b)
Increase the sample size n. From the above formula, n is inversely proportional to the confidence interval.
Increasing the sample size will decrease the width of the confidence interval,
c) Increasing the margin of error
It will again increase the width of the confidence interval.
Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!
orchestra answered 1 year agoRelated Solutions
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