MATH 120: INTRODUCTION TO STATISTICS LIME SPRING WEEK 8 FINAL EXAM QUESTIONS AND ANSWERS
ALREADY GRADED A+. 100% Verified Solutions | Updated Per Latest Guidelines | Graded A+...
CORE DOMAINS
Descriptive Statistics and Data Summarization
Probability Theory and Probability Distributions
Sampling Distributions and the Central Limit Theorem
Confidence Intervals for Population Parameters
Hypothesis Testing for One and Two Populations
Correlation and Simple Linear Regression
Chi-Square Tests for Categorical Data
Analysis of Variance (ANOVA)
This comprehensive final examination is designed to assess the fundamental knowledge and analytical reasoning
required for proficiency in introductory statistics. The assessment evaluates the candidate's ability to organize,
summarize, and interpret numerical data; apply core principles of probability; and draw valid inferences about
populations based on sample evidence. The exam emphasizes higher-order cognitive skills, moving beyond rote
calculation to the selection, application, and interpretation of appropriate statistical procedures in a variety of real-
world contexts. All questions are presented in a multiple-choice format that mirrors the style and rigor of a
,comprehensive, proctored final assessment, requiring careful analysis and critical thinking to arrive at the correct
solution.
SECTION ONE
Questions 1–100
Question 1
A city planner collects data on the number of public parks in each of 50 neighborhoods. The number of parks
per neighborhood is a count that can only take whole-number values. This type of data is best classified as
which of the following?
A. Continuous quantitative
B. Discrete quantitative
C. Qualitative nominal
D. Qualitative ordinal
🟢 Correct Answer: B
🔴 RATIONALE: The number of parks is a numerical measurement that can only assume distinct, separate
values (0, 1, 2, ...), making it discrete quantitative data. Continuous data (A) can take any value within an interval.
Qualitative data (C, D) describes categories or attributes, not numerical counts.
,Question 2
A researcher stands outside a grocery store and surveys every 20th person who exits about their shopping
habits. This sampling method is an example of which of the following?
A. Simple random sampling
B. Stratified random sampling
C. Cluster sampling
D. Systematic sampling
🟢 Correct Answer: D
🔴 RATIONALE: Systematic sampling involves selecting every kth member of the population after a random
starting point. Surveying every 20th person perfectly fits this definition. Simple random sampling (A) would
require each person to have an equal chance of selection without a fixed interval. Stratified sampling (B) divides
the population into subgroups first. Cluster sampling (C) involves selecting entire groups.
Question 3
A dataset consists of the following values: 12, 15, 15, 18, 20, 22, 25. What is the mode of this dataset?
A. 12
B. 15
C. 18
D. 20
, 🟢 Correct Answer: B
🔴 RATIONALE: The mode is the value that appears most frequently in a dataset. The number 15 appears twice,
while all other numbers appear only once. Therefore, 15 is the mode.
Question 4
The midterm scores for a statistics class have a mean of 76 and a standard deviation of 6. If the scores are
normally distributed, approximately what percentage of students scored between 64 and 88?
A. 68%
B. 75%
C. 95%
D. 99.7%
🟢 Correct Answer: C
🔴 RATIONALE: Using the Empirical Rule for a normal distribution, 64 is two standard deviations below the
mean (76 - 2×6 = 64), and 88 is two standard deviations above the mean (76 + 2×6 = 88). Approximately 95%
of the data falls within two standard deviations of the mean.
Question 5
ALREADY GRADED A+. 100% Verified Solutions | Updated Per Latest Guidelines | Graded A+...
CORE DOMAINS
Descriptive Statistics and Data Summarization
Probability Theory and Probability Distributions
Sampling Distributions and the Central Limit Theorem
Confidence Intervals for Population Parameters
Hypothesis Testing for One and Two Populations
Correlation and Simple Linear Regression
Chi-Square Tests for Categorical Data
Analysis of Variance (ANOVA)
This comprehensive final examination is designed to assess the fundamental knowledge and analytical reasoning
required for proficiency in introductory statistics. The assessment evaluates the candidate's ability to organize,
summarize, and interpret numerical data; apply core principles of probability; and draw valid inferences about
populations based on sample evidence. The exam emphasizes higher-order cognitive skills, moving beyond rote
calculation to the selection, application, and interpretation of appropriate statistical procedures in a variety of real-
world contexts. All questions are presented in a multiple-choice format that mirrors the style and rigor of a
,comprehensive, proctored final assessment, requiring careful analysis and critical thinking to arrive at the correct
solution.
SECTION ONE
Questions 1–100
Question 1
A city planner collects data on the number of public parks in each of 50 neighborhoods. The number of parks
per neighborhood is a count that can only take whole-number values. This type of data is best classified as
which of the following?
A. Continuous quantitative
B. Discrete quantitative
C. Qualitative nominal
D. Qualitative ordinal
🟢 Correct Answer: B
🔴 RATIONALE: The number of parks is a numerical measurement that can only assume distinct, separate
values (0, 1, 2, ...), making it discrete quantitative data. Continuous data (A) can take any value within an interval.
Qualitative data (C, D) describes categories or attributes, not numerical counts.
,Question 2
A researcher stands outside a grocery store and surveys every 20th person who exits about their shopping
habits. This sampling method is an example of which of the following?
A. Simple random sampling
B. Stratified random sampling
C. Cluster sampling
D. Systematic sampling
🟢 Correct Answer: D
🔴 RATIONALE: Systematic sampling involves selecting every kth member of the population after a random
starting point. Surveying every 20th person perfectly fits this definition. Simple random sampling (A) would
require each person to have an equal chance of selection without a fixed interval. Stratified sampling (B) divides
the population into subgroups first. Cluster sampling (C) involves selecting entire groups.
Question 3
A dataset consists of the following values: 12, 15, 15, 18, 20, 22, 25. What is the mode of this dataset?
A. 12
B. 15
C. 18
D. 20
, 🟢 Correct Answer: B
🔴 RATIONALE: The mode is the value that appears most frequently in a dataset. The number 15 appears twice,
while all other numbers appear only once. Therefore, 15 is the mode.
Question 4
The midterm scores for a statistics class have a mean of 76 and a standard deviation of 6. If the scores are
normally distributed, approximately what percentage of students scored between 64 and 88?
A. 68%
B. 75%
C. 95%
D. 99.7%
🟢 Correct Answer: C
🔴 RATIONALE: Using the Empirical Rule for a normal distribution, 64 is two standard deviations below the
mean (76 - 2×6 = 64), and 88 is two standard deviations above the mean (76 + 2×6 = 88). Approximately 95%
of the data falls within two standard deviations of the mean.
Question 5
