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Variance, t-value, sample mean

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10y ago

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Does the population mean have to fall within the confidence interval?

No. For instance, when you calculate a 95% confidence interval for a parameter this should be taken to mean that, if you were to repeat the entire procedure of sampling from the population and calculating the confidence interval many times then the collection of confidence intervals would include the given parameter 95% of the time. And sometimes the confidence intervals would not include the given parameter.


Why confidence interval useful?

Why confidence interval is useful


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

The confidence interval becomes wider.


What Confidence interval is 0.05 alpha?

how are alpha and confidence interval related


The width of a confidence interval is equal to twice the value of the margin of error?

No. The width of the confidence interval depends on the confidence level. The width of the confidence interval increases as the degree of confidence demanded from the statistical test increases.


What happens to the confidence interval as the mean decreases?

The confidence interval is not directly related to the mean.


What happens to the confidence interval if you increase the sample size?

The confidence interval becomes smaller.


Is a 95 percent confidence interval for a mean wider than a 99 percent confidence interval?

No, it is not. A 99% confidence interval would be wider. Best regards, NS


What is the most controllable method of increasing the precision of or narrowing the confidence interval?

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.


What 3 elements are used to calculate a confidence interval?

A confidence interval is calculated using three key elements: the sample mean, the standard deviation (or standard error) of the sample, and the critical value from the relevant statistical distribution (such as the z-score or t-score) corresponding to the desired confidence level. The formula combines these elements to estimate the range within which the true population parameter is expected to lie, given the sample data. This interval provides a measure of uncertainty around the sample estimate.


Is confidence interval and confidence limits are same thing?

no,these are not the same thing.The values at each end of the interval are called the confidence limits.


What happens to the width of the confidence interval when you are unable to get a large sample size?

The width of the confidence interval increases.

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