WGU STatistics Test questions
with verified answers
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 answer Bootstrap
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 answer ANOVA
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 answer ANOVA
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 answer Two-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 answer The 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 answer Error 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 answer Equal 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 answer y 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 answer yi ,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.
with verified answers
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 answer Bootstrap
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 answer ANOVA
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 answer ANOVA
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 answer Two-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 answer The 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 answer Error 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 answer Equal 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 answer y 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 answer yi ,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.
