MAT 210: Final Exam Review
Vocabulary
Question #1: Meets Learning Objectives 1.1, 1.2, 1.3
Match word with the definition.
Statistics
Descriptive Statistics
Inferential Statistics
A Statistic
Parameter
Population
Sample
Individual
a. A numerical summary of a sample.
b. Organizing and summarizing data through tables, graphs, and
numerical summaries.
c. The science of collecting, organizing summarizing, and analyzing
information to draw conclusion or answer questions. It is also
about providing a measure of confidence in any conclusions.
d. A subset of the group of individuals that is being studied.
e. Uses methods that take results from a sample and extends
them to the population, and measures the reliability of the
result.
f. A person or object that is a member of the group being studied.
g. A numerical summary of a population.
h. The entire group of individuals to be studied.
How many words and definitions can I match correctly? ___________ out of 8
Are there definitions that are difficult for me to tell apart?
Questions #2 & #3: Meets Learning Objective 1.4
Determine whether the variables are qualitative or quantitative.
Distance in miles to the nearest school
Number on an athlete’s jersey
Questions #4 & #5: Meets Learning Objective 1.5
Determine whether the study depicts an observational study or an experiment.
A study is conducted to determine if there is a relationship between Parkinson’s disease and
childhood head trauma. Doctors look at the hospital records for patients with Parkinson’s
disease for any childhood head trauma.
Fifty high school students are divided into two groups. One group is shown a video on car safety.
The other is not. After one week, both groups are questioned about their accident record.
Questions #6 & #7: Meets Learning Objective 1.5
Answers #6:
a.
b.
c.
d.
e.
f.
g.
h.
i
Answers #7:
a.
b.
c.
d.
e.
f.
g.
Question #8: Meets Learning Objectives 2.1, 9.1
Data is in “MyGroups” as Final Exam Review – #8 Exam Times (in minutes)
Answers:
Mean =
StatCrunch Menu:
Median =
Mode =
Question #9: Meets Learning Objectives 2.2, 9.1
Data is in “MyGroups” as Final Exam Review – #9
Answers:
σ2 =
s2 =
s=
σ=
StatCrunch Menu:
Question #10: Meets Learning Objectives 2.2, 9.1
Data is in “MyGroups” as Final Exam Review – #10 Flight Times (in minutes)
Answers:
range =
sample standard deviation =
Question #11: Meets Learning Objective 2.4
a.
b.
c.
d.
StatCrunch Menu:
Questions #12 & #13: Meets Learning Objective 2.5
Data is in “My Groups” as Final Exam Review - #12 Frequency Distribution of Savings
Data is in “My Groups” as Final Exam Review - #13 Frequency Distribution of Square Footage
Answers #12:
Sample mean =
Answers #13:
Sample mean =
Sample st dev =
Sample st dev =
StatCrunch Menu:
Questions #14 & #15: Meets Learning Objectives 3.1, 3.2, 9.2
Data is in “My Groups” as Final Exam Review - #14 Bear Length vs Weight
Data is in “My Groups” as Final Exam Review - #15 CEO Pay vs Return
Answers #14:
a.
Answers #15:
a.
b.
b.
c. r =
c. r =
d.
d.
Stat Crunch Menu for scatter diagram:
StatCrunch Menu for correlation coefficient:
Question #16: Meets Learning Objectives 3.5, 3.6
Data is in “My Groups” as Final Exam Review - #16 Commute Time vs Well-Being Score
Answers:
a.
StatCrunch Menu for regression line:
b. Interpret the slope.
Interpret the y-intercept.
c. Predicted well-being score =
d.
Question #17: Meets Learning Objective 3.7
Answer:
Question #18: Meets Learning Objective 4.1, 4.2
a. Interpretation #1 of area.
Interpretation #2 of area.
b. Interpretation #1 of area.
Interpretation #2 of area.
Questions #19, 20, 21: Meet Learning Objectives 4.3, 9.3
StatCrunch Menu for Normal
Probabilities:
Answer #19
Answer #20
Answer #21
Question #22: Meets Learning Objective 4.5, 9.3
Answers:
a.
StatCrunch Menu for normal approximation to the binomial:
b.
c.
d. more / fewer
greater than / equal to / less than
Question #23: Meets Learning Objectives 5.1, 5.3
a. What must be true?
What is the mean and standard deviation of the sampling distribution? (Use formula sheet.)
b.
c.
StatCrunch Menu for normal probabilities:
Question #24: Meets Learning Objective 5.2
Hint: Look on formula sheet for formulas.
Describe the shape of the sampling distribution.
Determine the mean of the sampling distribution.
Determine the standard deviation of the sampling distribution.
Question #25: Meets Learning Obj. 6.2
Question #26: Meets Learning Obj. 6.3
StatCrunch Menu or use pop-up chart for both:
Use formula sheet to find the formula.
Use formula sheet to find the formula.
a. n =
a. n =
b. n =
b. n =
Question #27: Meets Learning Objectives 6.1, 9.5
Data is in “MyGroups” as Final Exam Review – #27 Travel Tax
Answers:
a. point estimate =
StatCrunch Menu:
b. Construct and interpret a confidence interval.
c. Would you recommend to a researcher…?
increase / decrease
sample st. deviation / sample mean / level of confidence
Question #28: Meets Learning Objectives 2.2, 4.4, 6.3, 9.5
Data is in “MyGroups” as Final Exam Review – #28 Jars of Peanuts
Answers:
a. Choose the plot.
StatCrunch Menu for normal probability plot:
Are the data normally distributed?
b. s =
StatCrunch Menu for standard deviation:
c. Construct a confidence interval.
StatCrunch Menu:
d. Interpretation.
Questions #29 & #30: Meets Learning Objective 7.2
Answer #29:
Answer #30:
Question #31: Meets Learning Objectives 7.3 & 9.4
Null and alternative hypotheses:
Assumptions:
p-value:
Calculate p-value using a binomial calculator:
Conclusion:
Question #32: Meets Learning Objectives 1.4, 7.1, 9.6
Type of variable:
Type of hypothesis test:
Null and alternative hypotheses:
Value of test statistic:
StatCrunch Menu:
p-value:
Conclusion:
greater / less
reject / do not reject
is / is not
different from / equal to/ greater than / less than
Question #33: Meets Learning Objectives 1.7, 7.5, 9.6
Type of experimental design:
Response variable:
Explanator variable:
What does double-blind mean?
Why is it important to have a placebo group?
Null and alternative hypotheses:
test statistic:
p-value:
StatCrunch menu:
Conclusion:
Problem #34: Meets Learning Objectives 6.4, 9.5
Answers:
Lower bound:
Upper bound:
Interpretation of interval:
StatCrunch Menu:
Problem #35: Meets Learning Objectives 7.5, 9.6
Data is in “MyGroups” as Final Exam Review – #35 Fathers vs Sons
Conditions:
Null and alternative hypotheses:
test statistic:
p-value:
Conclusion:
StatCrunch Menu:
Problem #36: Meets Learning Objectives 7.5, 9.6
Data is in “MyGroups” as Final Exam Review – #36 Carpet
Null and alternative hypotheses:
p-value:
StatCrunch Menu:
Conclusion:
Problem #37: Meets Learning Objectives 7.5, 9.6
Data is in “MyGroups” as Final Exam Review – #37 Restaurant Lines
Null and alternative hypotheses:
p-value:
StatCrunch Menu:
Conclusion:
p-value:
StatCrunch Menu for boxplots:
Problem #38: Meets Learning Objectives 6.6, 9.7
Data is in “MyGroups” as Final Exam Review – #38 M&Ms
Null and alternative hypotheses:
Expected Counts:
test statistic:
Color
Brown
Yellow
Red
Blue
Orange
Green
StatCrunch Menu:
Expected Count
p-value:
Conclusion:
Reject / Do not reject
sufficient / not sufficient
not the same as / the same as / less uniform than / more uniform than