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

SectionWeightObjectives
Topic 1: Correlation & Regression20%- Correlation coefficient and interpretation
- Simple linear regression models
- Interpreting slope, intercept, and R-squared
- Predictions and limitations of regression
Topic 2: Probability Concepts20%- Conditional probability and Venn diagrams
- Probability rules, independent and dependent events
- Discrete and continuous probability distributions
- Normal distribution and empirical rule
Topic 3: Basic Numeracy & Algebra15%- Linear equations, inequalities, graphing functions
- Exponents, roots, and basic formulas
- Arithmetic operations, fractions, decimals, percentages
Topic 4: Descriptive Statistics25%- Measures of spread: range, IQR, variance, standard deviation
- Graphical displays: histograms, boxplots, scatterplots
- Measures of center: mean, median, mode
- Types of data: categorical, discrete, continuous
Topic 5: Inferential Statistics & Study Design20%- Hypothesis testing framework and interpretation
- Confidence intervals for means/proportions
- Sampling methods and bias
- Observational studies vs experiments

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2026 Marvelous WGU Applied-Probability-and-Statistics: Download Applied Probability and Statistics (FZO1 C955) Demo

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WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q119-Q124):

NEW QUESTION # 119
Type I error # = 0.05 means:

Answer: C

Explanation:
The symbol # represents the significance level of a hypothesis test and is the probability of making a Type I error. A Type I error occurs when the null hypothesis is true but the test rejects it. Therefore, # = 0.05 means there is a 5% risk of rejecting a true null hypothesis under the testing procedure. This is often described as the false positive rate. Option B describes a Type II error, which involves failing to reject a false null hypothesis.
Option C is incorrect because a 5% significance level corresponds to a 95% confidence level in related confidence-interval contexts, not 5% confidence. Option D is unrelated; # is not a sample-size percentage.
The interpretation must connect # directly to the probability of incorrectly rejecting H# when H# is actually true. Study Guide references/topics: hypothesis testing, significance level, Type I error, null hypothesis.


NEW QUESTION # 120
Standard error decreases when:

Answer: D

Explanation:
The standard error of the sample mean is calculated as SE = s/#n, where s is the sample standard deviation and n is the sample size. Since n appears in the denominator, increasing the sample size reduces the standard error, assuming the standard deviation stays constant. This reflects the fact that larger samples produce more stable estimates of the population mean. Option B is incorrect because decreasing sample size increases standard error. Option C is incorrect because a larger standard deviation increases standard error by increasing the numerator. Option D is incorrect because the mean affects the center of the distribution but does not directly determine the standard error. Standard error is about precision: smaller standard error means less sampling variability and a more precise estimate. That is why larger samples are preferred in inference. Study Guide references/topics: standard error, sample size, standard deviation, sampling variability.


NEW QUESTION # 121
Z-score formula = ?

Answer: C

Explanation:
The z-score formula is z = (x # #)/#, where x is the observed value, # is the population mean, and # is the population standard deviation. A z-score standardizes a raw value by measuring how many standard deviations it lies above or below the mean. The numerator, x # #, gives the deviation from the mean. Dividing by # converts that deviation into standard deviation units. If z is positive, the value is above the mean. If z is negative, the value is below the mean. If z = 0, the value equals the mean. Option B incorrectly adds the value and mean, which does not measure deviation. Option C ignores the mean, and option D ignores the observed value entirely. The z-score is central for normal distribution calculations because it allows values from different scales to be compared using the standard normal distribution. Study Guide references/topics: z- scores, standard normal distribution, mean, standard deviation.


NEW QUESTION # 122
Histogram vs bar chart:

Answer: C


NEW QUESTION # 123
Sample mean = best point estimate of population mean?

Answer: A

Explanation:
The sample mean is the standard point estimate for the population mean. A point estimate is a single statistic calculated from sample data and used to estimate an unknown population parameter. If the parameter of interest is the population mean #, the corresponding sample statistic is x#. Therefore, the statement is true.
This does not mean the sample mean is guaranteed to equal the population mean exactly; sampling variability can cause sample means to differ from the true population mean. However, the sample mean is unbiased under random sampling and becomes more stable as sample size increases. Confidence intervals expand this idea by placing a margin of error around the sample mean. Option B is incorrect because the sample mean is precisely the conventional point estimator for #. Options C and D impose invalid restrictions. Study Guide references/topics: sample mean, population mean, point estimate, sampling variability.


NEW QUESTION # 124
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