Question

If we construct 1000 confidence intervals for the population mean with 97% confidence level using the same method and not changing sample size, we expect
of them to contain the true population mean.

Answers

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Answered by GPT-4o mini
When constructing confidence intervals, the confidence level represents the proportion of intervals that we expect to contain the true population parameter. In this case, you are using a 97% confidence level, which means that we expect 97% of the confidence intervals to contain the true population mean.

If you construct 1000 confidence intervals, you would expect:

\[
0.97 \times 1000 = 970
\]

So, we expect **970** of the 1000 confidence intervals to contain the true population mean.

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