WGU D582 INTRO TO STATS FOR
RESEARCH - HELPFUL TIPS PRACTICE
EXAMINATION 2026 QUESTIONS WITH
ANSWERS GRADED A+
◍ 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
◍ A researcher recorded the heart rates of the participants in two different
groups. The researcher wants to create a display for each distribution that
will show whether the distribution is symmetric or skewed and display the
numerical values of the minimum, the maximum, and the median.What is
the appropriate graphical display?.
Answer: A. Box plot
◍ Stratified random sampling.
Answer: A method of sampling in which members of the population are
placed in subgroups or strata, after which each subgroup is randomly
sampled in a way that is proportional to the subgroup's size relative to the
population
◍ Data was collected on the number of participants in two contests. The
resulting correlation coefficient is r = -0.754.How should this be
interpreted?.
Answer: A. There is a strong negative correlation between the two variables.
◍ Which component must be included in a hypothesis test?.
Answer: B. p-value
◍ Non directional hypothesis.
, Answer: Usually uses a two-tailed test; when testing, the 5% is split between
the two tails so 2.5% on the bottom and top.
◍ Heavy-tailed distribution.
Answer: Too many extreme positives and negative residuals.
◍ Null hypothesis.
Answer: Typically the opposite of a researcher's hypothesis; a hypothesis
that there is no effect of a treatment, no relation between variables, or no
difference between the sample value and the population value.
◍ Sampling distribution of the sample mean.
Answer: The probability distribution for the sample mean; the central limit
theorem ensures it is approximately normal for large sample sizes.
◍ Parameter.
Answer: A numeric data summary that describes a population.
◍ A researcher measured the difference in the number of defective items for
each batch of 1,000 items in two random samples of 20 batches, each from
one of two production lines. The researcher constructed a 99% confidence
interval for the number of defective items per batch. The endpoints are -0.8
and -0.4.What is the appropriate conclusion?.
Answer: C. There is a significant difference between the means at the alpha
= 0.01 level.
◍ Simple random sampling.
Answer: A method of sampling in which every member of the population
has an equal probability of being chosen.
◍ One-way ANOVA.
Answer: Compares two types of variances: variance between groups and
variance within groups.
◍ if the p-value is less than the significance level.
Answer: reject
◍ The table below shows the preferences for the same product offered by
, different brands. What is used for the degrees of freedom if a
goodness-of-fit test is performed?.
Answer: B. 2
◍ Convenience sampling.
Answer: A method of sampling in which the sample is collected based on
subjects being willing and available.
◍ p̂1 - p̂2.
Answer: The difference between two population proportions.
◍ Which of the following variables is numerical?.
Answer: B. Product pricing in the context of marketing research
◍ A university wants to evaluate the effectiveness of different teaching
methods on students' test scores. The three methods being compared were
A) traditional classroom instruction, B) online self-paced learning, and C) a
blended combination of online and classroom instruction. Each method had
a group of 10 students. The mean test scores were 82.9, 72, and 88 for the
traditional classroom instruction, online-self-paced learning, and blended
combination, respectively. After performing a one-way ANOVA and
obtaining a significant result, the university performed a post-hoc Tukey test
that produced the following confidence intervals: Classroom instruction vs
online self-paced learning: (6.4, 15.4) Classroom instruction vs blended
combination: (-0.6, 8.4)Online self-paced learning vs blended combination:
(11.5, 20.5)What is the appropriate conclusion?.
Answer: A. There is a significant difference between classroom instruction
and online self-paced learning as well as a significant difference between
online self-paced learning and the blended combination.
◍ A student is conducting research on the study habits of fellow students at a
college. Which variable of the study is quantitative?.
Answer: C. Time spent studying
◍ A researcher created a confidence interval but wants to repeat the process
with changes that will increase the level of confidence.Which change results
, in a higher level of confidence?.
Answer: B. Lower the significance level
◍ Tail regions.
Answer: The critical area/reject area for the null hypothesis, called z-crit or
zcrit.
◍ Which type of scale is college major in a study about motivation in sports
and competition?.
Answer: B. Nominal
◍ A researcher wants to display the results of a triathlon in a visual format.
There were 5,130 finishers, and the researcher would like to show the
relative frequencies of finishing times based on 20-minute intervals. What is
the appropriate graphical display?.
Answer: B. Histogram
◍ Which variable is numerical?.
Answer: D. Time to complete a test in a study about stress and academic
performance
◍ Range.
Answer: Largest number minus smallest number.
◍ A researcher conducted a two-tailed, large-sample hypothesis test for a
difference of population proportions. The critical values were determined to
be -2.33 and 2.33. The test statistic is -1.177. What is the appropriate
conclusion?.
Answer: C. Fail to reject the null hypothesis.
◍ Two-tailed test at the 5% level.
Answer: Has a critical boundary z-score of +1.96 and -1.96.
◍ A researcher collected data on the relationship between the dose of a
supplement and the performance on a coordination test. The researcher
determined that the relationship is modeled well by the regression equation
y = 88 - 0.05x, where x represents the dose of a supplement and y represents
RESEARCH - HELPFUL TIPS PRACTICE
EXAMINATION 2026 QUESTIONS WITH
ANSWERS GRADED A+
◍ 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
◍ A researcher recorded the heart rates of the participants in two different
groups. The researcher wants to create a display for each distribution that
will show whether the distribution is symmetric or skewed and display the
numerical values of the minimum, the maximum, and the median.What is
the appropriate graphical display?.
Answer: A. Box plot
◍ Stratified random sampling.
Answer: A method of sampling in which members of the population are
placed in subgroups or strata, after which each subgroup is randomly
sampled in a way that is proportional to the subgroup's size relative to the
population
◍ Data was collected on the number of participants in two contests. The
resulting correlation coefficient is r = -0.754.How should this be
interpreted?.
Answer: A. There is a strong negative correlation between the two variables.
◍ Which component must be included in a hypothesis test?.
Answer: B. p-value
◍ Non directional hypothesis.
, Answer: Usually uses a two-tailed test; when testing, the 5% is split between
the two tails so 2.5% on the bottom and top.
◍ Heavy-tailed distribution.
Answer: Too many extreme positives and negative residuals.
◍ Null hypothesis.
Answer: Typically the opposite of a researcher's hypothesis; a hypothesis
that there is no effect of a treatment, no relation between variables, or no
difference between the sample value and the population value.
◍ Sampling distribution of the sample mean.
Answer: The probability distribution for the sample mean; the central limit
theorem ensures it is approximately normal for large sample sizes.
◍ Parameter.
Answer: A numeric data summary that describes a population.
◍ A researcher measured the difference in the number of defective items for
each batch of 1,000 items in two random samples of 20 batches, each from
one of two production lines. The researcher constructed a 99% confidence
interval for the number of defective items per batch. The endpoints are -0.8
and -0.4.What is the appropriate conclusion?.
Answer: C. There is a significant difference between the means at the alpha
= 0.01 level.
◍ Simple random sampling.
Answer: A method of sampling in which every member of the population
has an equal probability of being chosen.
◍ One-way ANOVA.
Answer: Compares two types of variances: variance between groups and
variance within groups.
◍ if the p-value is less than the significance level.
Answer: reject
◍ The table below shows the preferences for the same product offered by
, different brands. What is used for the degrees of freedom if a
goodness-of-fit test is performed?.
Answer: B. 2
◍ Convenience sampling.
Answer: A method of sampling in which the sample is collected based on
subjects being willing and available.
◍ p̂1 - p̂2.
Answer: The difference between two population proportions.
◍ Which of the following variables is numerical?.
Answer: B. Product pricing in the context of marketing research
◍ A university wants to evaluate the effectiveness of different teaching
methods on students' test scores. The three methods being compared were
A) traditional classroom instruction, B) online self-paced learning, and C) a
blended combination of online and classroom instruction. Each method had
a group of 10 students. The mean test scores were 82.9, 72, and 88 for the
traditional classroom instruction, online-self-paced learning, and blended
combination, respectively. After performing a one-way ANOVA and
obtaining a significant result, the university performed a post-hoc Tukey test
that produced the following confidence intervals: Classroom instruction vs
online self-paced learning: (6.4, 15.4) Classroom instruction vs blended
combination: (-0.6, 8.4)Online self-paced learning vs blended combination:
(11.5, 20.5)What is the appropriate conclusion?.
Answer: A. There is a significant difference between classroom instruction
and online self-paced learning as well as a significant difference between
online self-paced learning and the blended combination.
◍ A student is conducting research on the study habits of fellow students at a
college. Which variable of the study is quantitative?.
Answer: C. Time spent studying
◍ A researcher created a confidence interval but wants to repeat the process
with changes that will increase the level of confidence.Which change results
, in a higher level of confidence?.
Answer: B. Lower the significance level
◍ Tail regions.
Answer: The critical area/reject area for the null hypothesis, called z-crit or
zcrit.
◍ Which type of scale is college major in a study about motivation in sports
and competition?.
Answer: B. Nominal
◍ A researcher wants to display the results of a triathlon in a visual format.
There were 5,130 finishers, and the researcher would like to show the
relative frequencies of finishing times based on 20-minute intervals. What is
the appropriate graphical display?.
Answer: B. Histogram
◍ Which variable is numerical?.
Answer: D. Time to complete a test in a study about stress and academic
performance
◍ Range.
Answer: Largest number minus smallest number.
◍ A researcher conducted a two-tailed, large-sample hypothesis test for a
difference of population proportions. The critical values were determined to
be -2.33 and 2.33. The test statistic is -1.177. What is the appropriate
conclusion?.
Answer: C. Fail to reject the null hypothesis.
◍ Two-tailed test at the 5% level.
Answer: Has a critical boundary z-score of +1.96 and -1.96.
◍ A researcher collected data on the relationship between the dose of a
supplement and the performance on a coordination test. The researcher
determined that the relationship is modeled well by the regression equation
y = 88 - 0.05x, where x represents the dose of a supplement and y represents
