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

SectionObjectives
Regression and Modeling- Linear Relationships
  • 1. Simple linear regression
    • 2. Slope and intercept interpretation
      Statistical Inference- Estimation and Confidence Intervals
      • 1. Confidence interval interpretation
        • 2. Point estimates
          - Hypothesis Testing (Introductory Level)
          • 1. Null vs alternative hypothesis
            • 2. p-values interpretation
              Probability Theory- Probability Distributions
              • 1. Binomial distribution basics
                • 2. Normal distribution
                  - Fundamental Probability Concepts
                  • 1. Independent vs dependent events
                    • 2. Conditional probability
                      • 3. Basic probability rules
                        Descriptive Statistics- Two Variable Data Analysis
                        • 1. Correlation
                          • 2. Outliers and relationships
                            • 3. Scatter plots interpretation
                              - Single Variable Data Analysis
                              • 1. Measures of central tendency (mean, median, mode)
                                • 2. Data visualization (histograms, box plots)
                                  • 3. Measures of dispersion (variance, standard deviation, range)

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

                                    1. Empirical probability = ?

                                    A) Guess
                                    B) Uniform
                                    C) Theoretical
                                    D) Based on observed data


                                    2. 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 positive association between daylight hours and gym attendance.
                                    B) There is a negative association between daylight hours and gym attendance.
                                    C) There is a positive, causal relationship between daylight hours and gym attendance.
                                    D) There is a negative, causal relationship between daylight hours and gym attendance.


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


                                    4. Type I error = ?

                                    A) Accept H# when false
                                    B) Error in data
                                    C) Reject H# when true
                                    D) Correct decision


                                    5. A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school.
                                    Which pair of graphs both display data in this manner?

                                    A) Bar graph and pie chart
                                    B) Bar graph and histogram
                                    C) Line graph and bar graph
                                    D) Pie chart and box plot


                                    Solutions:

                                    Question # 1
                                    Answer: D
                                    Question # 2
                                    Answer: A
                                    Question # 3
                                    Answer: D
                                    Question # 4
                                    Answer: C
                                    Question # 5
                                    Answer: A

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