Can two confidence intervals with different widths have the same confidence level?Review LaterYes, the width does not affect the confidence level.No, wider intervals always have higher confidence levels.No, narrower intervals always have higher confidence levels.Yes, if they are based on different samples.
Question
Can two confidence intervals with different widths have the same confidence level?Review LaterYes, the width does not affect the confidence level.No, wider intervals always have higher confidence levels.No, narrower intervals always have higher confidence levels.Yes, if they are based on different samples.
Solution
Yes, two confidence intervals with different widths can have the same confidence level. The width of a confidence interval is determined by the standard deviation and the sample size, not the confidence level. The confidence level is about the probability that if you conducted your study many times, you would expect the true population parameter to fall within the confidence interval in a certain percentage of the studies. So, it is possible to have two confidence intervals of different widths but the same confidence level if they are based on different samples or if the variability in the samples is different.
Similar Questions
Suppose you compute a 91% confidence interval. What will happen to the confidence interval if you increase the confidence level to 93%?The confidence interval will widen.The confidence interval will narrow.The width of the confidence interval will stay the same.
Examine the following statements and then select the one statement that is correct.Group of answer choicesA wider confidence interval means less confidence in the estimate (all other things being equal).A narrower confidence interval is always better than a wider confidence interval.For a 95% confidence interval for a population mean, there is a 95% chance that the confidence interval includes the sample mean.The width of a confidence interval is affected by both the sampling error and the required level of confidence.
Some methods may be used to make a confidence interval wider or narrower
Suppose you compute a confidence interval with a sample size of 81. What will happen to the confidence interval if the sample size increases to 84?The confidence interval will widen.The confidence interval will narrow.The width of the confidence interval will stay the same.
Suppose you compute a 98% confidence interval. What will happen to the confidence interval if you decrease the confidence level to 96%?The confidence interval will widen.The confidence interval will narrow.The width of the confidence interval will stay the same
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