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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Basic Numeracy & Algebra | 15% | - Linear equations, inequalities, graphing functions - Exponents, roots, and basic formulas - Arithmetic operations, fractions, decimals, percentages |
| Descriptive Statistics | 25% | - Measures of center: mean, median, mode - Measures of spread: range, IQR, variance, standard deviation - Graphical displays: histograms, boxplots, scatterplots - Types of data: categorical, discrete, continuous |
| Probability Concepts | 20% | - Probability rules, independent and dependent events - Normal distribution and empirical rule - Discrete and continuous probability distributions - Conditional probability and Venn diagrams |
| Correlation & Regression | 20% | - Correlation coefficient and interpretation - Interpreting slope, intercept, and R-squared - Predictions and limitations of regression - Simple linear regression models |
| Inferential Statistics & Study Design | 20% | - Observational studies vs experiments - Confidence intervals for means/proportions - Sampling methods and bias - Hypothesis testing framework and interpretation |
WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:
1. Standard error decreases when:
A) Sample size increases
B) SD increases
C) Sample size decreases
D) Mean increases
2. Standard deviation increases #
A) Data closer
B) Variance decreases
C) Mean increases
D) Data more spread out
3. Probability it does NOT rain = 1 # 0.25 = ?
A) 0.5
B) 1
C) 0.75
D) 0.25
4. A single ball is drawn from an opaque bag that contains red, blue, and green balls. The probability of drawing a red ball is .3, and the probability of drawing a blue ball is .6.
What is the probability of drawing a green ball?
A) .5
B) .3
C) .9
D) .1
5. A hospital analyzes the recovery rates of patients undergoing two different treatments for a specific condition.
Treatment X has an overall recovery rate of 80%, while Treatment Y has a recovery rate of 90%. However, when the data is divided by age groups, Treatment X has a higher recovery rate in each age group compared to Treatment Y.
Is Simpson's paradox present in this study?
A) No, because the overall recovery rate is higher for Treatment Y.
B) Yes, because the overall recovery rates are inconsistent with the age group-specific rates.
C) Yes, because the recovery rates differ between the two treatments.
D) No, because the study does not involve a confounding variable that affects recovery rates.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: D | Question # 5 Answer: B |
