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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

SectionWeightObjectives
Basic Numeracy & Algebra15%- Exponents, roots, and basic formulas
- Arithmetic operations, fractions, decimals, percentages
- Linear equations, inequalities, graphing functions
Inferential Statistics & Study Design20%- Hypothesis testing framework and interpretation
- Observational studies vs experiments
- Sampling methods and bias
- Confidence intervals for means/proportions
Probability Concepts20%- Normal distribution and empirical rule
- Probability rules, independent and dependent events
- Discrete and continuous probability distributions
- Conditional probability and Venn diagrams
Descriptive Statistics25%- 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
Correlation & Regression20%- Interpreting slope, intercept, and R-squared
- Simple linear regression models
- Correlation coefficient and interpretation
- Predictions and limitations of regression

WGU Applied Probability and Statistics (FZO1 C955) Sample Questions:

Question 1

Dataset: 5, 7, 7, 10. Standard deviation?

A. 3
B. 2.16
C. 0
D. 1.5


Question 2

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. Yes, because the overall recovery rates are inconsistent with the age group-specific rates.
B. No, because the study does not involve a confounding variable that affects recovery rates.
C. No, because the overall recovery rate is higher for Treatment Y.
D. Yes, because the recovery rates differ between the two treatments.


Question 3

A team of scientists wants to understand the relationship between smoking and lung cancer. They collect data from 1,000 individuals, recording their smoking habits and whether they have been diagnosed with lung cancer. The scientists then analyze the data to find any correlations.
Is this study observational or experimental?

A. Observational, because the study involves a large sample size.
B. Experimental, because the researchers are testing the effects of smoking on lung cancer.
C. Observational, because the researchers are collecting data without manipulating any variables.
D. Experimental, because the researchers are analyzing the data to find correlations.


Question 4

A home inspector finds 3% of the homes in a community infected with termites.
How should the home inspector's findings be interpreted?

A. It is likely that a home in the community is infected with termites.
B. It is impossible that a home in the community is infected with termites.
C. It is unlikely that a home in the community is infected with termites.
D. It is as likely as unlikely that a home in the community is infected with termites.


Question 5

Standard error decreases when:

A. Decreases
B. SD increases
C. Sample size increases
D. Confidence decreases


Solutions:

Question 1
Answer: B
Question 2
Answer: A
Question 3
Answer: C
Question 4
Answer: C
Question 5
Answer: C

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