Improve Your Understanding of College Level Statistics Problems

Use the sample data to construct a scatterplot.
Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?
The table li sts che t sizes (di stance around chest in inches) and weights (pounds) of anesthetized bears that were measured.
$\begin{array}{|cccccccc|}\hline \text{Chest(in.)}& 26& 45& 54& 49& 35& 41& 41\\ \text{Weight(lb)}& 80& 344& 416& 348& 166& 220& 262\\ \hline\end{array}$

Gastroenterology
We present data relating protein concentration to pancreatic function as measured by trypsin secretion among patients with cystic fibrosis.
If we do not want to assume normality for these distributions, then what statistical procedure can be used to compare the three groups?
Perform the test mentioned in Problem 12.42 and report a p-value. How do your results compare with a parametric analysis of the data?
Relationship between protein concentration $(mg/mL)$ of duodenal secretions to pancreatic function as measured by trypsin secretion:
$[U/\frac{kg}{hr}]$
Tapsin secreton [UGA]
$\le 50$
$\begin{array}{|cc|}\hline \text{Subject number}& \text{Protetion concentration}\\ 1& 1.7\\ 2& 2.0\\ 3& 2.0\\ 4& 2.2\\ 5& 4.0\\ 6& 4.0\\ 7& 5.0\\ 8& 6.7\\ 9& 7.8\\ \hline\end{array}$
$51-1000$
$\begin{array}{|cc|}\hline \text{Subject number}& \text{Protetion concentration}\\ 1& 1.4\\ 2& 2.4\\ 3& 2.4\\ 4& 3.3\\ 5& 4.4\\ 6& 4.7\\ 7& 6.7\\ 8& 7.9\\ 9& 9.5\\ 10& 11.7\\ \hline\end{array}$
$>1000$
$\begin{array}{|cc|}\hline \text{Subject number}& \text{Protetion concentration}\\ 1& 2.9\\ 2& 3.8\\ 3& 4.4\\ 4& 4.7\\ 5& 5.5\\ 6& 5.6\\ 7& 7.4\\ 8& 9.4\\ 9& 10.3\\ \hline\end{array}$

A population of values has a normal distribution with ${\displaystyle \mu =29.3}$ and ${\displaystyle \sigma =65.1}$. You intend to draw a random sample of size ${\displaystyle n=142}$.
Find the probability that a sample of size n=142 is randomly selected with a mean between 27.7 and 35.3.
${\displaystyle P\left(27.7<\bar{X}<35.3\right)=}$?
Write your answers as numbers accurate to 4 decimal places.

Identifying Probability Distributions. In Exercises 7–14, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Cell Phone Use In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses (based on data from “Hemispheric Dominance and Cell Phone Use,” by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery , Vol. 139, No.

5). $\overline{)\begin{array}{cc} & P\left(x\right)\\ Left& 0.636\\ Right& 0.304\\ No preference& 0.060\end{array}}$