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Q: What is the conclusion when the confidence interval estimate µ of a population mean is between 17 and 20?

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An open interval centered about the point estimate, .

confidence level

normal distribution

A confidence interval of x% is an interval such that there is an x% probability that the true population mean lies within the interval.

There is a 95% probability that the true population proportion lies within the confidence interval.

What percentage of times will the mean (population proportion) not be found within the confidence interval?

Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.

Confidence intervals represent an interval that is likely, at some confidence level, to contain the true population parameter of interest. Confidence interval is always qualified by a particular confidence level, expressed as a percentage. The end points of the confidence interval can also be referred to as confidence limits.

You probably mean the confidence interval. When you construct a confidence interval it has a percentage coverage that is based on assumptions about the population distribution. If the population distribution is skewed there is reason to believe that (a) the statistics upon which the interval are based (namely the mean and standard deviation) might well be biased, and (b) the confidence interval will not accurately cover the population value as accurately or symmetrically as expected.

Why confidence interval is useful

No since it is used to reduce the variance of an estimate in the case that the population is finite and we use a simple random sample.

, the desired probabilistic level at which the obtained interval will contain the population parameter.

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