Statistics Projects for High School Students

What statistical test should she used if ${\displaystyle \mu =20and\sigma =4}$ with a sample (N=52, M=17, s=3).

The accompanying two-way table was constructed using data in the article “Television Viewing and Physical Fitness in Adults” (Research Quarterly for Exercise and Sport, 1990: 315–320). The author hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked about their television-viewing habits and were classified as physically fit if they scored in the excellent or very good category on a step test. We include MINITAB output from a chi-squared analysis. The four TV groups corresponded to different amounts of time per day spent watching TV (0, 1–2, 3–4, or 5 or more hours). The 168 individuals represented in the first column were those judged physically fit. Expected counts appear below observed counts, and MINITAB displays the contribution to $\left(x^2\right)$ from each cell.
State and test the appropriate hypotheses using $\alpha =0.05$
$\begin{array}{|cccc|}\hline & 1& 2& Total\\ 1& 35& 147& 182\\ & 25.48& 156.52& \\ 2& 101& 629& 730\\ & 102.20& 627.80& \\ 3& 28& 222& 250\\ & 35.00& 215.00& \\ 4& 4& 34& 38\\ & 5.32& 32.68& \\ Total& 168& 1032& 1200\\ \hline\end{array}$
$Chisq=3.557 + 0.579 + 0.014 + 0.002 + 1.400 + 0.228 + 0.328 + 0.053=6.161$
$df=3$

The most appropriate study design depends, among other things, on the distribution of
1.A) The risk factor in the population of interest
2.B) The participants
3.C) The outcome in the population of interest
4.D) $A\mathrm{\&}C$