Question

Assume the sample is from a normally distributed population and construct the indicated confidence intervals for (a) the population variance \sigma^{2

Confidence intervals
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asked 2021-07-04

Assume the sample is from a normally distributed population and construct the indicated confidence intervals for (a) the population variance \(\displaystyle\sigma^{{{2}}}\) and (b) the population standard deviation \(\displaystyle\sigma\). Interpret the results. The maximum wind speeds (in knots) of 13 randomly selected hurricanes that have hit the U.S. mainland are listed. Use a 95% level of confidence. \(\begin{matrix} 70 & 85 & 70 & 75 & 100 & 100 & 110 & 105 & 130 & 75 & 85 & 75 & 70 \end{matrix}\)

Answers (1)

2021-07-05
Variance: (185.0824,980.7545)
Standard deviation: (13.6045,31.3170)
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