Question 1

Which of the following best describes the main goal of statistics?

Accepted Answer

To collect, organize, analyze, and interpret data in order to draw conclusions about a population.

Question 2

A researcher wants to know the average height of all university students. She measures the heights of 200 randomly selected students. In this scenario, what is the population?

Accepted Answer

All university students.

Question 3

Which of the following is an example of a voluntary response sample?

Accepted Answer

A radio station asks listeners to call in and vote on their favorite song.

Question 4

Why are voluntary response samples generally considered unreliable?

Accepted Answer

They are likely to be biased because respondents choose to participate.

Question 5

In a study, 98 girls are born out of 100 random births. According to statistical significance, why is this result considered significant?

Accepted Answer

Because the probability of this happening by chance is 5% or less.

Question 6

Which of the following best illustrates the difference between statistical significance and practical significance?

Accepted Answer

A new medication reduces headache duration by 1 minute on average, which is statistically significant but not meaningful to patients.

Question 7

A survey asks, 'Do you agree that the new recycling program is beneficial?' What type of survey issue does this question illustrate?

Accepted Answer

Loaded question

Question 8

Which of the following is a potential pitfall when analyzing data?

Accepted Answer

Reporting sample data instead of measuring it directly

Question 9

A company reports that their sales increased by 150% last year. What should you be cautious about when interpreting this percentage?

Accepted Answer

Percentages can be misleading if the base amount is not specified.

Question 10

Which step in the statistical process involves determining whether the results are due to chance or represent a real effect?

Accepted Answer

Conclude

Question 11

A researcher wants to estimate the average commute time for all workers in a city. She surveys 500 randomly selected workers. What is the sample in this study?

Accepted Answer

The 500 workers surveyed

Question 12

Which of the following is NOT a recommended step in the 'Prepare' phase of a statistical study?

Accepted Answer

Draw conclusions about statistical significance

Question 13

If a survey has a low response rate, what is a likely consequence?

Accepted Answer

There is an increased likelihood of bias among respondents.

Question 14

Which of the following best describes a census?

Accepted Answer

The collection of data from every member of a population.

Question 15

A study finds a statistically significant difference in test scores between two teaching methods, but the average difference is only 0.2 points out of 100. What does this suggest?

Accepted Answer

The result is statistically significant but may lack practical significance.

Question 16

Which of the following is an example of misleading conclusions in statistics?

Accepted Answer

Using technical jargon that confuses non-experts.

Question 17

What is the main reason for using random sampling in a statistical study?

Accepted Answer

To ensure that every member of the population has an equal chance of being selected.

Question 18

Which of the following best describes 'data' in statistics?

Accepted Answer

Collections of observations, such as measurements or survey responses.

Question 19

A survey asks respondents to rate their satisfaction before asking about their income. What potential issue does this illustrate?

Accepted Answer

Order of questions

Question 20

Which of the following is a key aspect of statistical thinking?

Accepted Answer

Making sense of results and considering the context, source, and sampling method.

Chapter 1: Introduction to Statistics – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards