Q3 L1 · Quiz
Weekly quiz · From Curiosity to Research: Asking a Statistical Question
Assessment Appendix — AP Statistics · Week 19 Quiz
Quarter 3, Week 1 · Lessons 3.1–3.2 · From Curiosity to Research: Asking a Statistical Question; Confidence Intervals for a Proportion: How Good Is Our Seed Lot?
| # | Item | Answer / look-fors / scoring | Pts | Lesson · standards |
|---|---|---|---|---|
| 1 | Which term best matches this description? Six-week timeline, available materials, space, and safety. | (E) feasibility. | 1 | L3.1 · CED Topic 1.1, 1.10; 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), 10% (n ≤ 10% of the population when sampling without replacement), Large counts (n p̂ ≥ 10 and n(1 − p̂) ≥ 10). | (D) conditions. | 1 | L3.2 · CED Topic 3.3; LO 3.3.A, 3.3.B, 3.3.C; Skill 2.C, 3.E, 4.E |
| 3 | A supplier claims 80% of its seeds germinate. In a random sample of 150, 112 germinated. What is the test statistic for H₀: p = 0.8 vs Hₐ: p < 0.8? | (B) z = -1.63. z = (0.747 − 0.8) ÷ √(0.8·0.20/150) = -1.63 (use p₀ in the standard error). | 1 | L3.2 · CED Topic 3.3; LO 3.3.A, 3.3.B, 3.3.C; Skill 2.C, 3.E, 4.E; item skill 3.E |
| 4 | Seedling heights have mean 4.2 cm and SD 1.3 cm. Each height is converted to millimeters and then 5 mm is added for the pot rim. What are the new mean and SD? | (B) Mean 47 mm; SD 13 mm. Multiplying scales both mean and SD; adding a constant shifts only the mean. | 1 | L3.1 · CED Topic 1.1, 1.10; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B; item skill 3.A |
| 5 | Pepper heights (cm) have Q1 = 4.0, Q3 = 6.0, and a maximum of 9.5. Using the 1.5 × IQR rule, which statement is correct? | (C) The upper fence is 9.0, so 9.5 is an outlier. IQR = 2.0; upper fence = 6.0 + 1.5(2.0) = 9.0 < 9.5. | 1 | L3.1 · CED Topic 1.1, 1.10; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B; item skill 2.A |
| 6 | Short Free Response: Answer each part using evidence from this week’s garden investigations. | 4 | L3.1, 3.2 · CED Topic 1.1, 1.10; LO 1.1.A, 1.1.B, 1.10.A; Skill 1.A, 2.B; CED Topic 3.3; LO 3.3.A, 3.3.B, 3.3.C; Skill 2.C, 3.E, 4.E | |
| (a) Write your team’s research question. | Look for: Look for a testable question with four or five levels and a clear environmental connection. | 1 | ||
| (b) List the levels of your independent variable. | Look for: Look for a testable question with four or five levels and a clear environmental connection. | 1 | ||
| (c) Explain why this question matters for Phoenix. | Look for: Look for a testable question with four or five levels and a clear environmental connection. | 1 | ||
| (d) In a random sample of 80 seeds, 64 germinate. Check conditions. | Random sample; 80 is less than 10% of a large lot; 64 and 16 are both at least 10. | 1 |