99.9 CI means that there is a 99.9% chance the CI limits contains the value you are looking for.
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 of critical statistics provide a range of values within which we can reasonably estimate the true value of a population parameter based on our sample data. They are constructed by calculating the critical statistic, such as the mean or proportion, and then determining the upper and lower bounds of the interval using the standard error and a desired level of confidence, usually 95% or 99%. The confidence interval helps us understand the uncertainty around our estimates and provides a measure of the precision of our results.
A wider confidence interval indicates greater uncertainty about the estimate, suggesting that the true parameter value could lie within a broader range. This often occurs with smaller sample sizes or higher variability in the data. In contrast, a narrow confidence interval reflects greater precision and confidence in the estimate, indicating that the true parameter is likely to be closer to the estimated value. Thus, the width of the confidence interval provides insight into the reliability of the estimate.
It means that 95% of the values in the data set falls within 2 standard deviations of the mean value.
The two tailed critical value is ±1.55
It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75
1.96
The Z-value for a one-sided 91% confidence interval is 1.34
For a two-tailed interval, they are -1.645 to 1.645
1.96
1.15
ss
Pr{z<=1.0805}~=0.86
1.75
1.31
2.326 (one sided) or 2.578 (two sided)