SOLUTION: If you could help me w/ this problem I would really appreciate it! Why is a 99% confidence interval wider than a 95% confidence interval? Thank you!

Question 1048816: If you could help me w/ this problem I would really appreciate it!
Why is a 99% confidence interval wider than a 95% confidence interval?
Thank you!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

For a % confidence interval, we will look up the values that separate the middle % of the area beneath the normal distribution from the remaining %. This remaining % is split between the right and left tails and half of % in each tail (i.e., % or ). The values that separate the middle % from the outer % are � and our multiplier is .
What if we wanted to be more conservative and use a % confidence interval? Now we need the values that separate the middle % from the outer %. There will be % split between the left and right tails. The values that separate the middle % from the outer % are � and our multiplier for a % confidence interval is .

The value of the as the

. This leads to intervals for higher confidence levels. We are more confident of catching the population value when we use a wider interval.

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