Question: Assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean for each of the following samples: Sample A:

Assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean for each of the following samples:
Sample A: 1 1 1 1 8 8 8 8
Sample B: 1 2 3 4 5 6 7 8
Explain why these two samples produce different confidence intervals even though they have the same mean and range.

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