Suppose we construct a 98% confidence interval for the mean. The interval ranges from [1100, 1200]. The 98% confidence interval for the population mean can be interpreted as follows:
If all possible samples are taken and confidence intervals are calculated, 98% of those intervals would include the true population mean somewhere in their interval. |
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One can be 98% confident that you have selected a sample whose range does not include the population mean. |
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One can be 98% confident that the true population mean is within the confidence interval of [1100, 1200]. |
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All of the above |
Confidence interval Interpretation
There is a 98% chance that this calculated confidence interval would contain the true population mean. In other words, if we repeat this experiment many times, the calculated confidence intervals would be different, but we expect 98% of these intervals to contain the population mean
We can also write in a way that " We are 98% confident that the true population mean lies within the confidence interval of [1100, 1200]
So, Option A and C are correct
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