Question 1

Which of the following best describes the main goal of statistics as discussed in the lecture notes?

Accepted Answer

To design studies, analyze data, and translate data into knowledge about the world.

Question 2

In the context of the survey shown in Figure 1.1, what is the population?

Accepted Answer

All teenagers in the United States ages 13–17.

Question 3

Which of the following is an example of a parameter?

Accepted Answer

The average number of cups of coffee consumed by all UNCW students.

Question 4

Suppose a study randomly selects 500 students to track library visits. Which term best describes the 500 students?

Accepted Answer

Sample

Question 5

Which of the following best describes the difference between descriptive and inferential statistics?

Accepted Answer

Descriptive statistics summarize collected data; inferential statistics make predictions about a population based on a sample.

Question 6

A margin of error of ±3% in a survey means:

Accepted Answer

It is very likely (about 95% confidence) that the true population percentage is within 3% of the sample percentage.

Question 7

Which of the following best illustrates 'between sample variability'?

Accepted Answer

Different samples from the same population produce different sample means.

Question 8

Refer to the target diagrams (second image). Which target represents high bias and low variability?

Accepted Answer

The top left target (a)

Question 9

Why is random sampling important in statistical studies?

Accepted Answer

It ensures each subject in the population has the same chance of being included, allowing for valid inferences.

Question 10

A researcher wants to know the proportion of Wilmingtonians who like pineapple on pizza. She surveys 34 people and finds 14 like it. What is the statistic in this context?

Accepted Answer

$$\frac{14}{34} = 41.2\%$$

Question 11

Which of the following is NOT a component of the statistical process as described in the lecture notes?

Accepted Answer

Replication

Question 12

If a study finds a 'statistically significant' difference between two groups, what does this mean?

Accepted Answer

The observed difference is larger than what would be expected from ordinary random sample-to-sample variability.

Question 13

Which of the following is an example of a bias in data analysis?

Accepted Answer

A survey that only includes people who visit a coffee shop in the morning.

Question 14

Which of the following best describes a 'statistic'?

Accepted Answer

A numerical summary of a sample.

Question 15

Suppose you want to estimate the average blood pressure of all adults in a city. You randomly select 200 adults and calculate their average blood pressure. Which of the following is the parameter?

Accepted Answer

The average blood pressure of all adults in the city.

Question 16

Which of the following is a real-world example of inferential statistics?

Accepted Answer

Predicting the average number of cups of coffee consumed by all UNCW students based on a sample.

Question 17

Which of the following is a potential ethical concern in data analysis as described in the lecture notes?

Accepted Answer

Algorithms making decisions based on biased or outdated data.

Question 18

If a sample is not representative of the population, what is most likely to occur?

Accepted Answer

The results will be biased and may not accurately reflect the population.

Question 19

Which of the following best describes 'within sample variability'?

Accepted Answer

The differences in measurements among individuals within a single sample.

Question 20

A school district randomly assigns classrooms to use a new teaching method and compares test scores. What is the main purpose of random assignment in this context?

Accepted Answer

To ensure a fair comparison by minimizing bias.

Statistics: The Art and Science of Learning From Data – Chapter 1 Study Notes

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