WGU D582 INTRO TO STATISTICS FOR
RESEARCH OA FINAL TEST 2026
QUESTIONS WITH CORRECT ANSWERS
GRADED A+
◍ Variability.
Answer: distance between scores in data set and the mean
◍ Which statement is tested with a chi-square test for homogeneity?.
Answer: B. Multiple populations have the same distribution of a single
categorical variable.
◍ A research study investigates various aspects influencing customer
satisfaction at a variety of popular restaurant chains. Which of the following
variables is qualitative?.
Answer: A. Restaurant theme
◍ Data was collected on the enrollment in two courses. The resulting
correlation coefficient is r = 0.707.Which interpretation is correct?.
Answer: B. There is a strong positive correlation between the two variables.
◍ A researcher conducts a survey and reports a 95% confidence interval of
(30, 50)for the mean age of participants. What does this imply?.
Answer: C. In the long run, 95% of the intervals created using this method
will capture the true mean age of the population.
◍ A manufacturing company aims to maintain consistent product quality by
monitoring the weight of packaged goods across multiple production lines.
Which type of measurement scale is most appropriate for recording the
weight of each package.
Answer: B. Ratio
,◍ A researcher is studying employee satisfaction at a company.Which variable
is numerical?.
Answer: C. Annual salary
◍ A researcher collected data on standardized test scores of 10,000
participants. The researcher wants to be able to see the quartiles of the data
and to be able to identify outliers. What is the appropriate graphical
display?.
Answer: B. Box plot
◍ A student is conducting research on the study habits of fellow students at a
college.Which variable of the study is qualitative?.
Answer: D. Major area of study
◍ The image has four normal distributions. What is true about distribution
B?Image description: The graph displays four overlapping normal curves
labeled A, B, C, and D. Curve A is centered around x = 2 and has a
moderate spread. Curve B is wider and shorter, centered around x = 3.
Curve C is the narrowest and tallest, peaking at x = 4. Curve D is similar in
shape to A and has its peak around x = 5. All curves are plotted on the same
set of axes with the x-axis ranging from 1 to 6..
Answer: B. It has the largest standard deviation.
◍ Which variable is quantitative?.
Answer: A. Interest rate in a study about investment decisions
◍ Research is being conducted on a company's employees, specifically related
to satisfaction. Which variable of the study is quantitative?.
Answer: A. Years of experience
◍ A student took an exam with four sections, each scored separately.Which
section score represents the greatest relative performance?.
Answer: B. A score of 82 with a corresponding z-score of 1.9
◍ Imagine you're a market researcher studying consumer preferences for a
new brand of energy drinks. You want to gather insights from a diverse
, group of consumers across different demographics. You randomly select
300 participants from a national database of potential consumers to include
in your study. Which type of sampling is implemented in the scenario?.
Answer: B. Simple random
◍ variable.
Answer: quantify, measure, or categorize about the objectives of research
subjects
◍ A study measured the difference in the number of annual loan application
denials for each bank in two random samples of 14 banks, each from one of
two regions. A 95% confidence interval for the number of annual denials is
0.2 to 0.9. What is the appropriate conclusion?.
Answer: B. There is a significant difference between the means at the alpha
= 0.05 level.
◍ Which of the following is an assumption of a chi-square test for
homogeneity?.
Answer: B. 80% of categories must have an expected value of 5 or more
◍ A study measured the number of annual precipitation days for each location
in two random samples of 12 locations, each from one of two regions. A
98% confidence interval for the difference in mean number of precipitation
days is −0.8 to 0.3. What is the appropriate conclusion?.
Answer: C. There is not a significant difference between the means at the µ
= 0.02 level.
◍ A researcher collected data on the number of votes by fans for contestants
on a popular television show. The results are shown in the table below. A
goodness-of-fit test was performed on this data to test the null hypothesis
that each contestant has an equal probability of being chosen at the 0.01
significance level. The chi-square results were X^2=9.16, df=3, and
p-value=0.0272.What is the appropriate conclusion?.
Answer: A. Fail to reject the null hypothesis. There is not a significant
difference among the contestant preferences.
RESEARCH OA FINAL TEST 2026
QUESTIONS WITH CORRECT ANSWERS
GRADED A+
◍ Variability.
Answer: distance between scores in data set and the mean
◍ Which statement is tested with a chi-square test for homogeneity?.
Answer: B. Multiple populations have the same distribution of a single
categorical variable.
◍ A research study investigates various aspects influencing customer
satisfaction at a variety of popular restaurant chains. Which of the following
variables is qualitative?.
Answer: A. Restaurant theme
◍ Data was collected on the enrollment in two courses. The resulting
correlation coefficient is r = 0.707.Which interpretation is correct?.
Answer: B. There is a strong positive correlation between the two variables.
◍ A researcher conducts a survey and reports a 95% confidence interval of
(30, 50)for the mean age of participants. What does this imply?.
Answer: C. In the long run, 95% of the intervals created using this method
will capture the true mean age of the population.
◍ A manufacturing company aims to maintain consistent product quality by
monitoring the weight of packaged goods across multiple production lines.
Which type of measurement scale is most appropriate for recording the
weight of each package.
Answer: B. Ratio
,◍ A researcher is studying employee satisfaction at a company.Which variable
is numerical?.
Answer: C. Annual salary
◍ A researcher collected data on standardized test scores of 10,000
participants. The researcher wants to be able to see the quartiles of the data
and to be able to identify outliers. What is the appropriate graphical
display?.
Answer: B. Box plot
◍ A student is conducting research on the study habits of fellow students at a
college.Which variable of the study is qualitative?.
Answer: D. Major area of study
◍ The image has four normal distributions. What is true about distribution
B?Image description: The graph displays four overlapping normal curves
labeled A, B, C, and D. Curve A is centered around x = 2 and has a
moderate spread. Curve B is wider and shorter, centered around x = 3.
Curve C is the narrowest and tallest, peaking at x = 4. Curve D is similar in
shape to A and has its peak around x = 5. All curves are plotted on the same
set of axes with the x-axis ranging from 1 to 6..
Answer: B. It has the largest standard deviation.
◍ Which variable is quantitative?.
Answer: A. Interest rate in a study about investment decisions
◍ Research is being conducted on a company's employees, specifically related
to satisfaction. Which variable of the study is quantitative?.
Answer: A. Years of experience
◍ A student took an exam with four sections, each scored separately.Which
section score represents the greatest relative performance?.
Answer: B. A score of 82 with a corresponding z-score of 1.9
◍ Imagine you're a market researcher studying consumer preferences for a
new brand of energy drinks. You want to gather insights from a diverse
, group of consumers across different demographics. You randomly select
300 participants from a national database of potential consumers to include
in your study. Which type of sampling is implemented in the scenario?.
Answer: B. Simple random
◍ variable.
Answer: quantify, measure, or categorize about the objectives of research
subjects
◍ A study measured the difference in the number of annual loan application
denials for each bank in two random samples of 14 banks, each from one of
two regions. A 95% confidence interval for the number of annual denials is
0.2 to 0.9. What is the appropriate conclusion?.
Answer: B. There is a significant difference between the means at the alpha
= 0.05 level.
◍ Which of the following is an assumption of a chi-square test for
homogeneity?.
Answer: B. 80% of categories must have an expected value of 5 or more
◍ A study measured the number of annual precipitation days for each location
in two random samples of 12 locations, each from one of two regions. A
98% confidence interval for the difference in mean number of precipitation
days is −0.8 to 0.3. What is the appropriate conclusion?.
Answer: C. There is not a significant difference between the means at the µ
= 0.02 level.
◍ A researcher collected data on the number of votes by fans for contestants
on a popular television show. The results are shown in the table below. A
goodness-of-fit test was performed on this data to test the null hypothesis
that each contestant has an equal probability of being chosen at the 0.01
significance level. The chi-square results were X^2=9.16, df=3, and
p-value=0.0272.What is the appropriate conclusion?.
Answer: A. Fail to reject the null hypothesis. There is not a significant
difference among the contestant preferences.
