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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Probability Concepts | 20% | - Normal distribution and empirical rule - Conditional probability and Venn diagrams - Discrete and continuous probability distributions - Probability rules, independent and dependent events |
| Topic 2: Correlation & Regression | 20% | - Correlation coefficient and interpretation - Simple linear regression models - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared |
| Topic 3: Descriptive Statistics | 25% | - Graphical displays: histograms, boxplots, scatterplots - Measures of spread: range, IQR, variance, standard deviation - Measures of center: mean, median, mode - Types of data: categorical, discrete, continuous |
| Topic 4: Basic Numeracy & Algebra | 15% | - Linear equations, inequalities, graphing functions - Arithmetic operations, fractions, decimals, percentages - Exponents, roots, and basic formulas |
| Topic 5: Inferential Statistics & Study Design | 20% | - Hypothesis testing framework and interpretation - Observational studies vs experiments - Confidence intervals for means/proportions - Sampling methods and bias |
Question 1
Standard deviation measures:
A. Probability
B. Frequency
C. Central tendency
D. Spread of data
Question 2
Mean = 50, SD = 5, n = 25. Standard error = ?
A. 5
B. 25
C. 1
D. 0.2
Question 3
In a game, a coin is tossed, and a spinner with 8 equal spaces numbered 1 through 8 is spun.
What is the probability of getting heads on the coin and a number less than 3 on the spinner?
A. 3/8
B. 1/4
C. 1/2
D. 1/8
Question 4
Two dice rolled. Probability sum = 7?
A. 5/36
B. 1/12
C. 6/36
D. 1/6
Question 5
A golf course is attempting to correlate golfing handicap with math SAT scores among local high school golfers. Ignoring potential confounding variables such as socioeconomic status, the golf course creates the following scatterplot.
What is the estimated value of r, the correlation coefficient, between these variables?
A. #0.63
B. 0.63
C. #0.10
D. 0.10
Solutions:
| Question 1 Answer: D | Question 2 Answer: C | Question 3 Answer: D | Question 4 Answer: C | Question 5 Answer: C |
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