WGU STatistics Test Exam QUESTIONS AND
VERIFIED CORRECT ANSWERS GRADED
A+ LATEST 100% GUARANTEED PASS
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.
Select your answer from the pull-down list. - CORRECT 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?
Sample size and sample mean
, Group means and standard deviations
Population mean and standard deviation
Percentage of the population sampled and population mean - CORRECT ANSWER-Group means
and standard deviations
A data analyst is studying the relationship between gender and marriage using the result below:
T = test: Paired two sample for means
Married Gender
Mean 0.48 0.64
Variance 0.26 0.24
Observations 25 25
Pearson correlation 0.220176
Hypothesized mean difference 0
df 24
T stat -1.28103
Confidence level 0.95
P (T<=t) one-tail 0.106213
t critical one-tail 1.710882
P (T<=t) two-tail 0.212425
t critical two-tail 2.063899
Given a confidence level of 95%, what can be concluded?
There is no significant difference of mean between these two groups given the t-values.
There is a significant difference of mean between these two group as our null hypothesis is µ 1 -
µ 2 = 0.
VERIFIED CORRECT ANSWERS GRADED
A+ LATEST 100% GUARANTEED PASS
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.
Select your answer from the pull-down list. - CORRECT 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?
Sample size and sample mean
, Group means and standard deviations
Population mean and standard deviation
Percentage of the population sampled and population mean - CORRECT ANSWER-Group means
and standard deviations
A data analyst is studying the relationship between gender and marriage using the result below:
T = test: Paired two sample for means
Married Gender
Mean 0.48 0.64
Variance 0.26 0.24
Observations 25 25
Pearson correlation 0.220176
Hypothesized mean difference 0
df 24
T stat -1.28103
Confidence level 0.95
P (T<=t) one-tail 0.106213
t critical one-tail 1.710882
P (T<=t) two-tail 0.212425
t critical two-tail 2.063899
Given a confidence level of 95%, what can be concluded?
There is no significant difference of mean between these two groups given the t-values.
There is a significant difference of mean between these two group as our null hypothesis is µ 1 -
µ 2 = 0.
