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What happens to the confidence interval as the sample estimate increases?
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.
What is an interval in math term?
An interval is a subset of an order-numbered set; the interval includes a highest- numbered member of the subset and a lowest-numbered member of the subset and all members of the set with order numbers with values between that of the highest- and lowest-numbered members. This is more exactly called a "closed interval". An "open interval" is defined in the same way, except that the lowest-numbered and highest-numbered limits are not part of the subset.
Is it true that the wider the confidence interval the less precise is the estimate?
All things being equal, a wider confidence interval (CI) implies a higher confidence. The higher confidence you want, the wider the CI gets. The lower confidence you want, the narrower the CI gets The point estimate will be the same, just the margin of error value changes based on the confidence you want. The formula for the CI is your point estimate +/- E or margin of error. The "E" formula contains a value for the confidence and the higher the confidence, the larger the value hence the wider the spread. In talking about the width of the CI, it is not correct to say more or less precise. You would state something like I am 95% confident that the CI contains the true value of the mean.
Is the class interval where the median lies just the same as the median?
No.
How hypothesis testing and the use of confidence intervals are the same?
They are related but they are NOT the same.
