Question: Variable X is normally distributed. Two random samples are selected from the population: Sample 1: (overline{X}=30,S=7) Sample 2: (n=35,overline{X}=30,S=7) Which of the followings statements is

Variable X is normally distributed. Two random samples are selected from the population: Sample 1: \(\overline{X}=30,S=7\) Sample 2: \(n=35,\overline{X}=30,S=7\) Which of the followings statements is true about the 98% confidence interval estimates of the population mean? The 98% confidence interval estimate of the population mean constructed from Sample 1 has a smaller margin of error than that from Sample 2. The 98% confidence interval estimate of the population mean constructed from Sample 1 is a better estimate because it has a smaller margin of error. The 98% confidence interval estimate of the population mean constructed from Sample 1 has a larger margin of error than that from Sample 2. The 98% confidence interval estimate of the population mean constructed from Sample 2 is a better estimate because it has a smaller margin of erro. None of these answers

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