Q4 L1 · Quiz
Weekly quiz · Launching the Community Capstone: A Data Question That Matters to Our Neighbors
Assessment Appendix — AP Statistics · Week 28 Quiz
Quarter 4, Week 1 · Lessons 4.1–4.2 · Launching the Community Capstone: A Data Question That Matters to Our Neighbors; t-Tests for a Mean and a Mean Difference: Does Mulch Cool the Soil?
| # | Item | Answer / look-fors / scoring | Pts | Lesson · standards |
|---|---|---|---|---|
| 1 | Which term best matches this description? Surveys of people need informed consent, privacy, and school approval. | (D) ethics. | 1 | L4.1 · CED Topic 1.1, 1.10, 1.11; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B |
| 2 | Which term best matches this description? Random (random sample or random assignment within pairs), 10% when sampling, Normal/large sample (n ≥ 30 or a graph of the differences shows no strong skew or outliers). | (B) conditions. | 1 | L4.2 · CED Topic 4.4, 4.5; LO 4.4.A, 4.4.B, 4.4.C; Skill 2.C, 2.E, 3.E, 4.G |
| 3 | Choose the word or phrase that best completes the sentence: A capstone question should name a ________ and variables, and its data collection method determines whether the conclusion can generalize, show cause, or only describe. | (E) population. | 1 | L4.1 · CED Topic 1.1, 1.10, 1.11; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B |
| 4 | A random sample of 10 pepper plants has mean height 11.48 cm and SD 2.07 cm. What is the margin of error for a 95% t-interval for the mean? (Illustrative data.) | (D) 1.48 cm. t* = 2.262 (df = 9); ME = 2.262 × 2.07/√10 = 1.48. | 1 | L4.2 · CED Topic 4.4, 4.5; LO 4.4.A, 4.4.B, 4.4.C; Skill 2.C, 2.E, 3.E, 4.G; item skill 3.D |
| 5 | Compost cups (n = 12) had mean height 10.6 cm (s = 1.68); control cups (n = 12) had mean 9.2 cm (s = 1.41). What is the two-sample t statistic? | (D) t = 2.21. SE = √(1.68²/12 + 1.41²/12) = 0.633; t = (10.6 − 9.2)/0.633 = 2.21. | 1 | L4.2 · CED Topic 4.4, 4.5; LO 4.4.A, 4.4.B, 4.4.C; Skill 2.C, 2.E, 3.E, 4.G; item skill 3.E |
| 6 | Short Free Response: Answer each part using evidence from this week’s garden investigations. | 4 | L4.1, 4.2 · CED Topic 1.1, 1.10, 1.11; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B; CED Topic 4.4, 4.5; LO 4.4.A, 4.4.B, 4.4.C; Skill 2.C, 2.E, 3.E, 4.G | |
| (a) Our capstone question: | Look for: Answers vary; look for a named population and variables, a method matched to the question (survey, experiment, or observational study), and a planned procedure matched to variable types. | 1 | ||
| (b) Our data collection method and why: | Look for: Answers vary; look for a named population and variables, a method matched to the question (survey, experiment, or observational study), and a planned procedure matched to variable types. | 1 | ||
| (c) The inference procedure we plan to use: | Look for: Answers vary; look for a named population and variables, a method matched to the question (survey, experiment, or observational study), and a planned procedure matched to variable types. | 1 | ||
| (d) Eight paired plants were measured before and after compost tea; mean increase x̄_d = 1.5 cm, s_d = 2.0 cm. Find t. | t = 1.5 ÷ (2.0 ÷ √8) ≈ 2.12. | 1 |