Practise interpreting confidence intervals for population means by naming the parameter and context, while separating the reported interval from the long-run confidence level.
Recent studies have determined with 94% confidence that the mean number of trees cut down every 24 hours to make toilet paper is between 25,000 and 29,000. What is meant by the confidence level in this context?
A confidence interval of the true mean number of trees cut down every 24 hours to make toilet paper was calculated using z-scores of ±1.881.
A confidence interval of the true mean number of trees cut down every 24 hours to make toilet paper was calculated using t-scores consistent with d f=n-1 and tail probabilities of 0.03 .
We are 94% confident that the true mean number of trees cut down every 24 hours to make toilet paper is between 25,000 and 29,000.
If all possible random samples of data are obtained by this method, approximately 94\% will yield confidence intervals that capture the true mean number of trees cut down every 24 hours to make toilet paper.
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