Answer:
For this case the confidence interval is given by (6-3=3 , 6+3=9)
And we can conclude that with 99% of confidence the true mean is between 3 and 9
And the best interpretation for this case is:
D. if we took many, many additional random samples, and from each computed a 99% confidence interval for μ, approximately 99% of these intervals would contain μ
Because NEVER the confidence interval can be interpreted as a chance or a probability.
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the confidence interval is given by (6-3=3 , 6+3=9)
And we can conclude that with 99% of confidence the true mean is between 3 and 9
And the best interpretation for this case is:
D. if we took many, many additional random samples, and from each computed a 99% confidence interval for μ, approximately 99% of these intervals would contain μ
Because NEVER the confidence interval can be interpreted as a chance or a probability.