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