Never!
The confidence interval becomes wider.
2.326 (one sided) or 2.578 (two sided)
how are alpha and confidence interval related
Point Estimate of the Mean: The point estimate of the mean is 16, since this is the sample mean. 95% Confidence Interval Estimate for the Mean: The 95% confidence interval estimate for the mean can be calculated using the following formula: Mean +/- Margin of Error = (16 +/- 1.96*(9/sqrt(50))) = 16 +/- 1.51 = 14.49 to 17.51 99% Confidence Interval Estimate for the Mean: The 99% confidence interval estimate for the mean can be calculated using the following formula: Mean +/- Margin of Error = (16 +/- 2.58*(9/sqrt(50))) = 16 +/- 2.13 = 13.87 to 18.13
No, it is not. A 99% confidence interval would be wider. Best regards, NS
Confidence level 99%, and alpha = 1%.
ss
4.04%
The parameters of the underlying distribution, plus the standard error of observation.
Never!
if the confidence interval is 24.4 to 38.0 than the average is the exact middle: 31.2, and the margin of error is 6.8
Why confidence interval is useful
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.
The confidence interval becomes wider.
2.326 (one sided) or 2.578 (two sided)
how are alpha and confidence interval related