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

SectionObjectives
Topic 1: Descriptive Statistics- Two Variable Data Analysis
  • 1. Correlation
    • 2. Scatter plots interpretation
      • 3. Outliers and relationships
        - Single Variable Data Analysis
        • 1. Measures of dispersion (variance, standard deviation, range)
          • 2. Data visualization (histograms, box plots)
            • 3. Measures of central tendency (mean, median, mode)
              Topic 2: Probability Theory- Probability Distributions
              • 1. Normal distribution
                • 2. Binomial distribution basics
                  - Fundamental Probability Concepts
                  • 1. Basic probability rules
                    • 2. Independent vs dependent events
                      • 3. Conditional probability
                        Topic 3: Regression and Modeling- Linear Relationships
                        • 1. Slope and intercept interpretation
                          • 2. Simple linear regression
                            Topic 4: Statistical Inference- Hypothesis Testing (Introductory Level)
                            • 1. p-values interpretation
                              • 2. Null vs alternative hypothesis
                                - Estimation and Confidence Intervals
                                • 1. Confidence interval interpretation
                                  • 2. Point estimates

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

                                    1. Sample mean = 60; point estimate of population mean = ?

                                    A) 50
                                    B) Unknown
                                    C) 60
                                    D) 0


                                    2. Mean = 50, SD = 5, n = 25. Standard error = ?

                                    A) 0.2
                                    B) 25
                                    C) 5
                                    D) 1


                                    3. Two mutually exclusive events: P(A and B) = ?

                                    A) P(A) × P(B)
                                    B) P(A) + P(B)
                                    C) 0
                                    D) 1


                                    4. Standard error decreases when:

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


                                    5. A university surveys faculty and students to determine support for a new campus recycling initiative.
                                    The results of the survey are shown in the following 2 × 2 contingency table:

                                    Which statement is true?

                                    A) Faculty members are much less likely than students to support the recycling initiative.
                                    B) Faculty members are slightly less likely than students to support the recycling initiative.
                                    C) Faculty members are slightly more likely than students to support the recycling initiative.
                                    D) Faculty members are much more likely than students to support the recycling initiative.


                                    Solutions:

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

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