Which of the statements given below is correct about a confidence interval?

A ) A 95% confidence interval for the mean contains the sample mean with 95% probability.

B ) 95% of all confidence intervals contain the population mean.

C ) All else equal, a 95% confidence interval is wider than its 99% counterpart.

D ) 95% of all population means will fall into a 95% confidence interval for the mean.

E ) One cannot form a confidence interval for the mean if the sample size is large and the population variance is unknown.

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Step 1We have to find a correct statement for confidence interval..Step 2\Rightarrow True or corret stetement for confidence interval.\Rightarrow we kuow that confidence interlal contensthe population mean\therefore B \quad 95 \% \text { confidence interials }contains the population mean. ...