If a 95% confidence interval for the mean was computed as (25,50), then if several more samples were taken with the same sample size, then 95% of them would have a sample mean between (25,50)

varice2r

varice2r

Answered question

2022-09-16

If a 95% confidence interval for the mean was computed as (25,50), then if several more samples were taken with the same sample size, then 95% of them would have a sample mean between (25,50)
And I know this statement is false, but I want to know exactly why.

Answer & Explanation

Sharon Dawson

Sharon Dawson

Beginner2022-09-17Added 20 answers

Explanation:
Your statement is false because of the part of the sentence that said " 95% of them would have the mean between (25,50)". The true statement should be "...95% of them would contain the true population mean μ. It could be that none of the sample mean is between 25 and 50 but the confident interval still contains μ.

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