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8.2.13-1 95% confidence interval for the population mean for each of the samples below plain why these Assuming that the population is normally distributed, construct a two samples produce differen t confidence intervals even though they have the same mean and range Full dataset SampleA: 1 1 4 4 5 5 8 8 Sample B: 1 2 3 45 6 7 8 Construct a 95% confidence interval for the population mean for sample A Type integers or decimals rounded to two decimal places as neodod) And construct a 95% confidence interval for the population mean for sample B
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Answer #1

From the given data

Descriptive Statistics: Sample A, Sample B Total Variable Count Mean StDev Variance Sample A Sample B Sum of Sum Squares 8 4.500 2.673 7.143 36.000 212.000 8 4.500 2.449 6.000 36.000 204.000

a) The 95% confidence interval for the population mean is xtr5%.AL7dfF = 4.5±2.3646 . (2.2653.6.7347) b)The 95% confidence interval for the population mean B is 2.673 tis%-W,-4 5 2 36462yB. (2.4526,6.5474)

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