WGU STatistics Test Questions and
Answers 100% Pass
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
Question: 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
Question: 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
,Question: 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
Question: 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.
, Question: 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.
Question: 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
Question: Given the following statistical model:
Answers 100% Pass
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
Question: 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
Question: 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
,Question: 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
Question: 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.
, Question: 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.
Question: 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
Question: Given the following statistical model:
