A 99% confidence interval for the mean / muμ of a population is computed from a random sample and found to be 6 ± 3. We may conclude that Group of answer choices there is a 99% probability that / mu μ is between 3 and 9. there is a 99% probability that the true mean is 6, and there is a 99% chance that the true margin of error is 3. if we took many additional random samples, the mean would be 6 and the margin of error would be 3. if we obtained several more samples and calculated a confidence interval for each the margin of error would be 3 but the sample mean would be different.

Question

Holmes

Mathematics

3 June, 19:03

A 99% confidence interval for the mean / muμ of a population is computed from a random sample and found to be 6 ± 3. We may conclude that Group of answer choices there is a 99% probability that / mu μ is between 3 and 9. there is a 99% probability that the true mean is 6, and there is a 99% chance that the true margin of error is 3. if we took many additional random samples, the mean would be 6 and the margin of error would be 3. if we obtained several more samples and calculated a confidence interval for each the margin of error would be 3 but the sample mean would be different.

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Answers (1)

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Eliezer Lee · Answer 1

There is a 99% probability that / mu μ is between 3 and 9.

Step-by-step explanation:

For a confidence level of x% for a mean being found between a and b, it means that we are x% sure, that is, there is a x% probability that the true mean for the population is between a and b.

A 99% confidence interval for the mean μ of a population is computed from a random sample and found to be 6 ± 3.

99% probability that the true mean of the population is between 3 and 9.

So the correct answer is:

There is a 99% probability that / mu μ is between 3 and 9.