Answer :
Final answer:
A 95% confidence interval suggests that if the same method was repeated 100 times, 95 out of those times, the true population mean would fall within the depicted range. This is a statistical concept and does not mean there's a 95% probability that the true mean falls within that range.
Explanation:
When we say that we are 95% confident that a population mean is between 28.2 and 38.4, this refers to what is called a interval in statistics. In simplistic terms, it means that if we were to conduct the same survey or experiment 100 times, we would expect that 95 out of those 100 times, the true population mean would fall within the stated 28.2 to 38.4 range.
This does not mean there's a 95% probability that the true mean is in that range, rather it means that 95% of the intervals calculated from repeated sampling would contain the true mean. The population mean, also known as the expected value, is the average of a set of data.
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