Question: Construct a 95% confidence interval estimate for the population mean, based on each of the following sets of data, assuming that the population is normally

Construct a 95% confidence interval estimate for the population mean, based on

each of the following sets of data, assuming that the population is normally

distributed:

Set 1: 1, 1, 1, 1, 8, 8, 8, 8

Set 2: 1, 2, 3, 4, 5, 6, 7, 8

Explain why these data sets have different confidence intervals even though they

have the same mean and range

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