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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Basic Numeracy & Algebra | 15% | - Exponents, roots, and basic formulas - Arithmetic operations, fractions, decimals, percentages - Linear equations, inequalities, graphing functions |
| Topic 2: Probability Concepts | 20% | - Discrete and continuous probability distributions - Normal distribution and empirical rule - Probability rules, independent and dependent events - Conditional probability and Venn diagrams |
| Topic 3: Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Simple linear regression models - Correlation coefficient and interpretation |
| Topic 4: Descriptive Statistics | 25% | - Graphical displays: histograms, boxplots, scatterplots - Measures of center: mean, median, mode - Types of data: categorical, discrete, continuous - Measures of spread: range, IQR, variance, standard deviation |
| Topic 5: Inferential Statistics & Study Design | 20% | - Observational studies vs experiments - Sampling methods and bias - Confidence intervals for means/proportions - Hypothesis testing framework and interpretation |
1. Review the following inequality:
y # #4x + 1
Which shaded region is described by this inequality?



A) Graph C
B) Graph D
C) Graph B
D) Graph A
2. In a class of 40 students, the following data were collected on their favorite sport:
* Soccer: 10 students
* Basketball: 15 students
* Tennis: 5 students
* Swimming: 10 students
What is the relative frequency of students whose favorite sport is not basketball?
A) 0.50
B) 0.625
C) 0.25
D) 0.75
3. A fitness center owner notices that gym attendance increases as the number of daylight hours increases. The owner calculates a correlation coefficient between daylight hours and gym attendance of r = 0.72.
Based on this information, what can be concluded?
A) There is a negative, causal relationship between daylight hours and gym attendance.
B) There is a positive, causal relationship between daylight hours and gym attendance.
C) There is a negative association between daylight hours and gym attendance.
D) There is a positive association between daylight hours and gym attendance.
4. Histogram vs bar chart:
A) Histogram for numeric intervals, bar for categories
B) None
C) Same
D) Bar for numeric, histogram for categories
5. Rare event count per interval modeled by:
A) Binomial
B) Uniform
C) Poisson
D) Normal
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: B | Question # 3 Answer: D | Question # 4 Answer: A | Question # 5 Answer: C |
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