A medical study reports that it took a random sample and found a 99% confidence

Question

A medical study reports that it took a random sample and found a 99% confidence interval for a population mean to be 4 < mu < 8. (That is, 4 < population mean < 8.) We may correctly conclude that

there is a 99% probability that the true mean is 6.

there is a 99% probability that this interval does not contain the true population mean.

99% of the individual data values are between 4 and 8.

if we took many additional random samples, and from each computed a 99% confidence interval, approximately 99% of these intervals would contain the true population mean.

there is a 99% probability that the true mean is 6.

there is a 99% probability that this interval does not contain the true population mean.

99% of the individual data values are between 4 and 8.

if we took many additional random samples, and from each computed a 99% confidence interval, approximately 99% of these intervals would contain the true population mean.

Explanation / Answer

In basic terms, it means that there is a 99% chance that the actual mean will fall within three standard deviations of the sample mean.

As we know 1st and 2nd options are not correct. Further through above statement 3rd option also not matches, so answeri is 4th option i.e if we took many additional random samples, and from each computed a 99% confidence interval, approximately 99% of these intervals would contain the true population.

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