Question 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.

HCXQHC The Asker · Probability and Statistics

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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