Which of the following would be a correct interpretation of a 99% confidence interval such as 4.1 less than mean less than 5.6?
Answer
it is given that the 99% confidence interval is between 4.1 and 5.6
so, we know that when the 99% confidence interval is between x and y, then we interpret it as
We are 99% confident that the true mean is between x and y value or we are 99% confident that the interval between x and y actually does contain the true mean
so, we can write it as
we are 99% confident that the interval between 4.1 and 5.6 actually does contain the true mean
A 99% confidence interval such as "4.1 less than mean less than 5.6" can be interpreted as follows:
We are 99% confident that the true population mean falls within the range of 4.1 to 5.6. This means that if we were to repeat the sampling process multiple times and construct 99% confidence intervals from each sample, approximately 99 out of 100 of these intervals would contain the true population mean.
In simpler terms, we have a high level of confidence that the true mean value of the population lies between 4.1 and 5.6 based on the sample data and the chosen level of confidence (99%).
Which of the following would be a correct interpretation of a 99% confidence interval such as...
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