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You randomly select and measure the contents of 10 bottles of cough 4.216 4.291 4.254 4.244 4.187 syrup. The results (in fluid ounces) are shown to the right. 4.269 4.262 4.249 4.227 4.232 Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance $\sigma^2$ and (b) the population standard deviation $\sigma$. Interpret the results. 

          You randomly select and measure the contents of 10 bottles of cough 4.216 4.291 4.254 4.244 4.187 syrup. The results (in fluid ounces) are shown to the right.
4.269 4.262 4.249 4.227 4.232
Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance $\sigma^2$ and (b) the population standard deviation $\sigma$. Interpret the results.
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You randomly select and measure the contents of 10 bottles of cough 4.216 4.291 4.254 4.244 4.187 syrup. The results (in fluid ounces) are shown to the right. 4.269 4.262 4.249 4.227 4.232 Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance $\sigma^2$ and (b) the population standard deviation $\sigma$. Interpret the results.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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PLEASE ANSWER a AND b Itranscript You randomly select and measure the contents of 10 bottles of cough4.216 4.291 4.254 4.244 4.187 syrup. The results (in fluid ounces) are shown to the right. 4.2694.2624.2494.227 4.232 Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance o2 and (b) the population standard deviation o. Interpret the results.
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Assume the sample is from a normally distributed population and construct the indicated confidence intervals for $(a)$ the population variance $\sigma^{2}$ and $(b)$ the population standard deviation $\sigma .$ Interpret the results. Cough Syrup The volumes (in fluid ounces) of the contents of 15 randomly selected bottles of cough syrup are listed. Use a $90 \%$ level of confidence. $\begin{array}{lllll}4.211 & 4.246 & 4.269 & 4.241 & 4.260 \\ 4.293 & 4.189 & 4.248 & 4.220 & 4.239 \\ 4.253 & 4.209 & 4.300 & 4.256 & 4.290\end{array}$

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Transcript

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00:01 To construct the confidence interval for the population variance and standard deviation, we'll use the chi -square distribution.
00:12 Given that the sample is taken from a normally distributed population, the chi -square distribution is appropriate for estimating the population variance.
00:19 The degrees of freedom is going to be one less than the sample size, which the sample size is 10, so the degrees of freedom is 9.
00:29 First, let's calculate the sample variance.
00:33 You can have a calculator do it as well, which is what i'm doing, and the sample variance is 0 .0012 if you're going to four decimal places, or you can use it exactly...
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