14A

Sleep Type    Mean  Median Std. Dev.
Morning Lark
Night Owl
Neither
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Identify when a one-way ANOVA should be considered to address a research question. 1, 4
Write the null and alternative hypotheses for a one-way ANOVA. 2, 3, 5, 6, 7

Side-by-side box plots labeled “Classes Missed” on the horizontal axis, with “Heavy,” “Moderate,” “Light,” and “Abstain” on the vertical axis. For heavy, the low point is at approximately 0 and the high point is approximately 6, with the low end of the box at approximately 0.5, the high end at approximately 3, and the middle line at approximately 2. For moderate, the low point is at approximately 0 and the high point is at approximately 10. The low end of the box is at approximately 0, the high end is at approximately 4, and the middle line is at approximately 2. There are also points at approximately 13, 14, 15, and 20. For light, the low point is at approximately 0 and the high point is at approximately 5. The low end of the box is at approximately 0, the high end is at approximately 2, and the middle line is at approximately 1. There are also points at approximately 6, 7, 10, and 12. For Abstain, the low point is at approximately 0 and the high point is at approximately 2. The low end of the box is at approximately 0, the high end of the box is at approximately 1, and no middle line can be identified. There are also points at approximately 4, 14, 15, and 20. Side-by-side box plots labeled “Missed Classes” on the x-axis, with “Lark,” “Owl,” and “Neither” on the y-axis. For Lark, the low point is at 0 and the high point is at approximately 5. The low end of the box is at 0, the high end is at approximately 2, and the middle line is at approximately 1. There are also points at approximately 6 and 8. For Owl, the low point is at 0 and the high point is at approximately 12. The low end of the box plot is at approximately 1, the high end is at approximately 5, and the middle line is at approximately 2. There are also points at approximately 13, 14, 15, and 20. For neither, the low point is at 0 and the high point is at 5. The low end of the box is at 0, the high end is at 2, and the middle line is at 1. There are also points at approximately 6, 7, 10, and 14. Side-by-side histograms labeled “Missed Classes” on the x-axis. There is a legend showing that green indicates lark, yellow indicates owl, and brown indicates neither. The first histogram is green. For 0, the value is approximately 17. For 1-2, the value is approximately 8. For 3, the value is approximately 2. For 4, the value is approximately 1. For 5-6, the value is approximately 2. For 8, the value is approximately 1. The next histogram is yellow. For 0-4, the value is approximately 35. For 5-9, the value is approximately 7. For 10-14, the value is approximately 5. For 15-20, the value is approximately 3. The next histogram is brown. For 0, the value is approximately 65. For 1, the value is approximately 35. For 2, the value is approximately 24. For 3, the value is approximately 11. For 4, the value is approximately 8. For 5-6, the value is approximately 7. For 10, the value is approximately 2. For 14, the value is approximately 1. Side-by-side box plots with “Weight Loss (lb)” on the horizontal axis and “Diet,” “Diet + Cardio,” “Diet + Cycling,” and “Diet + Strength Training + Cardio” on the vertical axis. There is a dash on the horizontal axis labeled “X bar = 17.1 lb.” For Diet, the low point is at approximately 11.5 and the high point is at approximately 14. The low end of the box is at approximately 12.25, the high end of the box is at approximately 13.75, and the middle line is at approximately 12.5. There is a label reading “X bar sub 1 = 12.8 lb.” For Diet + Cardio, the low point is at approximately 15 and the high point is at approximately 17.5. The low end of the box is at approximately 15.25, the high end of the box is at approximately 17, and the middle line is at approximately 16.25. There is a label reading “X bar sub 2 = 16.2 lb.” For Diet + Cycling, the low point is at approximately 17.25 and the high point is at approximately 19.5. The low end of the box is at approximately 17.5, the high end is at approximately 19.25, and the middle line is at approximately 18. There is a label reading “X bar sub 3 = 18.3 lb.” For Diet + Strength Training + Cardio, the low point is at approximately 19.75 and the high point is at approximately 22. The low end of the box is at approximately 20, the high end is at approximately 21.75, and the middle line is at approximately 21.7. There is also a label reading “x bar sub 4 equals 21.1 lb.” Side-by-side dot plots with “Weight Loss (lb)” on the horizontal axis. The first plot is labeled “Diet” and has dots at approximately 11.5, 12.4, 12.6, 13.8, and 14.2. The second plot is labeled “Diet + Cardio” and shows dots at approximately 14.9, 15.3, 16.3, 17, and 17.5. The third plot is labeled “Diet + Cycling” and shows dots at approximately 17.3, 17.4, 17.9, 19.3, and 19.5. The last plot is labeled “Diet + Strength Training + Cardio” and has dots at approximately 19.8, 19.9, 21.6, 21.6, and 21.8. Side-by-side box plots with “Weight Loss (lb)” on the horizontal axis and “Diet,” “Diet + Cardio,” “Diet + Cycling,” and “Diet + Strength Training + Cardio” on the vertical axis. There is a dash on the horizontal axis labeled “X bar = 17.1 lb.” For Diet, the low point is at approximately 7.5 and the high point is at approximately 19.5. The low end of the box is at approximately 10, the high end of the box is at approximately 15, and the middle line is at approximately 12.5. There is a label reading “X bar sub 1 = 12.8 lb.” For Diet + Cardio, the low point is at approximately 9.5 and the high point is at approximately 22. The low end of the box is at approximately 12, the high end of the box is at approximately 20, and the middle line is at approximately 18. There is a label reading “X bar sub 2 = 16.2 lb.” For Diet + Cycling, the low point is at approximately 10.5 and the high point is at approximately 24. The low end of the box is at approximately 14, the high end is at approximately 23.5, and the middle line is at approximately 19.5. There is a label reading “X bar sub 3 = 18.3 lb.” For Diet + Strength Training + Cardio, the low point is at approximately 13 and the high point is at approximately 26.5. The low end of the box is at approximately 18, the high end is at approximately 25, and the middle line is at approximately 22.5. There is also a label reading “x bar sub 4 equals 21.1 lb.” Side-by-side dot plots labeled “Weight Loss (lb)” on the horizontal axis. The first plot is labeled “Diet” and shows dots at approximately 6, 12, 13, 15, and 20. The second plot is labeled “Diet + Cardio” and has dots at approximately 9, 12, 17, 19, and 22. The third plot is labeled “Diet + Cycling” and has dots at approximately 10.5, 14.5, 19.5, 23.5, and 24. The last plot is labeled “Diet + Strength Training + Cardio” and has points at approximately 13, 20, 22, 25, and 26.5.

Glossary

grand mean
the mean of all the data values.
error sum of squares
the statistic measuring the variation within the groups.
group sum of squares
the statistic measuring the variation between the groups.
one-way ANOVA
a statistical test for comparing and making inferences about means associated with two or more groups, also called the one-factor ANOVA.