WGU Statistics Test with Complete
Solution
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 - 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 - 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 - 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 - 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. - 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. - 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 - 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 - 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. - 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.
Select your answer from the pull-down list. - ANSWER-y i Response variable Response
variable
β 0 + β 1 xi Mean response Mean response
xi Explanatory variable Explanatory variable
A study comparing graduating cumulative GPAs from students with two different majors
is conducted to study the effect of each major on academic achievement. From the list
of all graduating students in both majors, a random sample of 30 students from Major
One and 30 students from Major Two are selected. The researcher decides to use an
ANOVA test for this study.
What will the researcher need to calculate?
Solution
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 - 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 - 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 - 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 - 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. - 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. - 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 - 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 - 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. - 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.
Select your answer from the pull-down list. - ANSWER-y i Response variable Response
variable
β 0 + β 1 xi Mean response Mean response
xi Explanatory variable Explanatory variable
A study comparing graduating cumulative GPAs from students with two different majors
is conducted to study the effect of each major on academic achievement. From the list
of all graduating students in both majors, a random sample of 30 students from Major
One and 30 students from Major Two are selected. The researcher decides to use an
ANOVA test for this study.
What will the researcher need to calculate?
