2. The following sample of 16 measurements was selected from a population that is approximately normally distributed. 61 85 92 77 83 81 75 78 95 87 69 74 76 84 80 83 Construct a 90% confidence interval for the population mean. (5 points)
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First, we need to find the sample mean (x̄) and the sample standard deviation (s). Show more…
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The following sample of 16 measurements was selected from a population that is approximately normally distributed. 61 85 92 77 83 81 75 78 95 87 69 74 76 84 80 83 Construct a 90% confidence interval for the population mean.
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(d) The following sample of 16 measurements was selected from a population that is approximately normally distributed: 90 80 70 70 60 50 80 40 Construct a 95% confidence interval estimate for the population mean.
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The following sample of 16 measurements was selected from a population that is approximately normally distributed: $$\begin{array}{rrrrrrrrrr} 91 & 80 & 99 & 110 & 95 & 106 & 78 & 121 & 106 & 100 \\ 97 & 82 & 100 & 83 & 115 & 104 & & & & \\\hline\end{array}$$ a. Construct an $80 \%$ confidence interval for the population mean. b. Construct a $95 \%$ confidence interval for the population mean, and compare the width of this interval with that of part a. c. Carefully interpret each of the confidence intervals, and explain why the $80 \%$ confidence interval is narrower.
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