# What happens to the confidence interval if you increase the confidence level?

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Nov 2, 2015

#### Answer:

The range of possible values for the parameter under discussion widens.

#### Explanation:

While studying the properties of a Normal Distribution, we calculate the 1 $\sigma$ limit, 2 $\sigma$ limit and the 3 $\sigma$ limit.

The 3 $\sigma$ limit simply means Pr {$\mu$ - 3$\sigma$ < x < $\mu$ + 3$\sigma$] which is roughly 0.95.
When we increase the probability, naturally the range widens to include more values.
we talk about $6 \sigma$ as defining the quality of the process.

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