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What happens to the width of a confidence interval for a population mean if the level of confidence is decreased without changing the sample size? Assume that the population standard deviation is unknown and the population distribution is approximately normal.

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Answer:

The width of the confidence interval decreases.

Step-by-step explanation:

In a normal distribution, if the confidence level is decreased while the sample size remains the same, the confidence interval for the population mean narrows. Since the certainty required is lower, the interval can be narrowed towards a central point, which is the calculated sample mean.

Therefore, the width of the confidence interval decreases.

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