Research Question 5: Does the average backpacktobody ratio depend on a student's college?
Based on selfreported majors I attempted to classify everyone into one of the 6 colleges ("college").
Descriptive Statistics
(p) Use technology to construct an appropriate graphical display for examining the relationship between backpacktobody ratio and college. Include this graph in your report.
Press one of the links below to view the appropriate technology instructions.
 Select Analyze > Fit Y by X.
 Move ratio into the Y, Response box and >college into the X, Factor box.
 Use the hotspot to add boxplots to the display.

 Choose Stat > Basic Statistics > Display Descriptive Statistics .
 Move the ratio variable to the Graph variables box and then click in the By variables box and enter the college variable.
 Press the Graphs button and choose Boxplot of data.
 Press OK twice.

 boxplot(backpackdata$ratio~backpackdata$college, horizontal=T)

 In the Excel file, get the ratio and Units columns next to each other.
 Copy and paste these two columns two your clipboard
 Open the Descriptive Statistics applet
 Check the stacked and includes header boxes.
 Please Clear and then paste in the data. Toggle the (categ, quant) button to match your data format.
 Display the means, standard deviations, and boxplots.

(q) Write 12 sentences describing the relationship as revealed by your graph.
Inferential Statistics
(r) Carry out a test of significance to decide whether there is an association between backpacktobodyratio and college among all Cal Poly students.
1. Define the parameter(s) of interest.
2. State the hypotheses both in symbols and in words.
3. Identify an appropriate test procedure.
4.5. Use technology to carry out the test of significance and copy the output into your report.
Press one of the links below to view the appropriate technology instructions.
 Using your earlier output, use the hotspot to select Means/ANOVA.

 Select Stat > ANOVA > OneWay.
 Remember to specify the Response variable and the Factor (Explanatory variable).
 PressOK.

 summary(aov(backpackdata$ratio~backpackdata$college))

 Copy and paste the data into the Multiple Means applet.
 Remember to specify the Response and Explantory variables before pressing Use Data.
 Check the Show ANOVA Table box.

6. State your decision and summarize your conclusions in context.