WGU STATISTICS TEST EXAM WITH CORRECT QUESTIONS AND ANSWERS 2025

WGU STATISTICS TEST EXAM WITH
CORRECT QUESTIONS AND ANSWERS
2025

 In a standard 52-card deck, where each card is assigned a numeric value, the mean of
the 52 cards is 7.0 with a standard deviation of 3.742. To test if a representative sample
can be attained, the deck is shuffled and 13 cards are randomly drawn, one at a time.
Each card is recorded and then returned randomly to the deck before the next card is
drawn. This process of drawing 13 random cards is repeated a total of 20 times, and the
mean and standard deviation of each round is computed.


 Which type of sampling is this an example of?
 Randomization
 Multiple comparison
 Matched pairs
 Bootstrap - CORRECT-ANSWERSBootstrap
 A study is done to determine if the color of an apple affects the purchase rate by
consumers at a grocery store. Purchase counts for three colors of apples are collected.


 Which technique should be used to determine if there is a difference in purchase rate by
color?


 Rank-based
 Randomization
 t-test
 ANOVA - CORRECT-ANSWERSANOVA
 A hospital network collects the amount of time it takes doctors to see patients.

, Which two techniques are appropriate to compare the mean times of two subsets within
this set of doctors?


 Choose 2 answers




 ANOVA
 t-test
 Logistic regression
 Principal component analysis - CORRECT-ANSWERSANOVA
 t-test
 A data analyst needs to determine whether antioxidants in blackberries can reduce age-
related cognitive decline. Twenty-five adults between 65 and 80 are selected to eat
blackberries for six months and be retested. The original scores are compared with the
second scores to determine whether there was decline.


 What is the appropriate model to test the hypothesis?


 z test
 ANOVA
 Linear regression
 Two-sample t-test - CORRECT-ANSWERSTwo-sample t-test
 Which assumption does a data analyst have to make when performing ANOVA on a
dataset?




 There are just two parameters that are being estimated.
 The error terms follow a normal probability distribution.
 The parameters are additive.

, The explanatory variable is continuous. - CORRECT-ANSWERSThe error terms follow a
normal probability distribution.
 Which two assumptions are made when the linear regression model is used?


 Choose 2 answers




 Critical value is based on Fisher's exact test.
 Error terms are independent and identically distributed.
 Variances are not equal.
 Parameters β 0, β 1, and σ 2 are constant. - CORRECT-ANSWERSError terms are
independent and identically distributed.
 Parameters β 0, β 1, and σ 2 are constant.
 Which assumption is required to perform a two-sample t-test?


 Equal variance
 Large sample size
 Small sum of residuals
 Equal mean - CORRECT-ANSWERSEqual variance
 Given the following statistical model:


 y = 42 - 4.6 b


 Match each element of the model with its corresponding term.


 Answer options may be used more than once or not at all. Select your answers from the
pull-down list.

,  y Dependent variable Dependent variable
 42 Intercept Intercept
 -4.6 Slope Slope
 b Independent variable Independent variable - CORRECT-ANSWERSy Dependent variable
Dependent variable
 42 Intercept Intercept
 -4.6 Slope Slope
 b Independent variable Independent variable
 Given the following generalized two-sample t-test equation:


 yi ,j = µi + εi ,j


 Classify each element in the equation.


 Answer options may be used more than once or not at all.


 Select your answers from the pull-down list. - CORRECT-ANSWERSyi ,j Observed value
Observed value
 µi Mean response Mean response
 εi ,j Error term Error term
 Given the following linear model:


 y i = β 0 + β 1 xi + ε i


 Classify each element correctly.


 Answer options may be used more than once or not at all.