logistic_guy
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According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of \(\displaystyle 20\) pieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values:
\(\displaystyle 18.71 \ \ \ 21.41 \ \ \ 20.72 \ \ \ 21.81 \ \ \ 19.29 \ \ \ 22.43 \ \ \ 20.17\)
\(\displaystyle 23.71 \ \ \ 19.44 \ \ \ 20.50 \ \ \ 18.92 \ \ \ 20.33 \ \ \ 23.00 \ \ \ 22.85\)
\(\displaystyle 19.25 \ \ \ 21.77 \ \ \ 22.11 \ \ \ 19.77 \ \ \ 18.04 \ \ \ 21.12\)
\(\displaystyle \bold{(a)}\) Calculate the sample mean and median for the above sample values.
\(\displaystyle \bold{(b)}\) Compute the \(\displaystyle 10\%\) trimmed mean.
\(\displaystyle \bold{(c)}\) Do a dot plot of the absorbency data.
\(\displaystyle \bold{(d)}\) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?
\(\displaystyle 18.71 \ \ \ 21.41 \ \ \ 20.72 \ \ \ 21.81 \ \ \ 19.29 \ \ \ 22.43 \ \ \ 20.17\)
\(\displaystyle 23.71 \ \ \ 19.44 \ \ \ 20.50 \ \ \ 18.92 \ \ \ 20.33 \ \ \ 23.00 \ \ \ 22.85\)
\(\displaystyle 19.25 \ \ \ 21.77 \ \ \ 22.11 \ \ \ 19.77 \ \ \ 18.04 \ \ \ 21.12\)
\(\displaystyle \bold{(a)}\) Calculate the sample mean and median for the above sample values.
\(\displaystyle \bold{(b)}\) Compute the \(\displaystyle 10\%\) trimmed mean.
\(\displaystyle \bold{(c)}\) Do a dot plot of the absorbency data.
\(\displaystyle \bold{(d)}\) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?
