Question 1

A researcher collects the heights of every student in a university. Is this data set a population or a sample?

Accepted Answer

Population

Question 2

A survey of 50 randomly selected patients at a hospital finds an average recovery time of 6 days. Is this value a parameter or a statistic?

Accepted Answer

Statistic

Question 3

Which of the following is an example of qualitative data?

Accepted Answer

The favorite color of each student in a class

Question 4

A researcher records the number of cars passing through an intersection each hour. What type of data is this?

Accepted Answer

Quantitative; Discrete

Question 5

Which of the following is NOT a quantitative data set?

Accepted Answer

The brands of smartphones owned by students

Question 6

Which level of measurement allows for meaningful differences but not meaningful ratios, and does not have a true zero?

Accepted Answer

Interval

Question 7

A scientist measures the temperature (in °C) of a chemical solution at different times. What is the level of measurement for this data?

Accepted Answer

Interval

Question 8

Participants in a study are asked to rate their pain as 'none', 'mild', 'moderate', or 'severe'. What is the level of measurement?

Accepted Answer

Ordinal

Question 9

A hospital records the birth weights of newborns in kilograms. What is the level of measurement for this data?

Accepted Answer

Ratio

Question 10

A company tests a new training program by randomly assigning half of its employees to the program and comparing their productivity to those who did not participate. What type of study is this, and can causation be inferred?

Accepted Answer

Experiment; causation can be inferred

Question 11

A nutritionist surveys 100 people about their eating habits and finds a correlation between fruit intake and lower cholesterol. What type of study is this, and can causation be inferred?

Accepted Answer

Observational study; causation cannot be inferred

Question 12

Which of the following best describes a simple random sample?

Accepted Answer

Randomly selecting individuals so that every possible group of the desired size has an equal chance of being chosen

Question 13

A bakery tests every 15th cookie coming off the production line. What type of sampling method is this?

Accepted Answer

Systematic sampling

Question 14

A school district randomly selects 3 schools and surveys every teacher in those schools. What type of sampling method is this?

Accepted Answer

Cluster sampling

Question 15

A researcher divides a population into male and female groups, then randomly selects 20 people from each group. What type of sampling method is this?

Accepted Answer

Stratified sampling

Question 16

A quality control manager selects every 10th unit produced on a factory line for inspection. What type of sampling method is this?

Accepted Answer

Systematic sampling

Question 17

Which of the following is a representative sample?

Accepted Answer

A sample that reflects the same characteristics and proportions as the population

Question 18

A professor wants to select a simple random sample of 5 students from a class of 20. Which process would achieve this?

Accepted Answer

Assign each student a number from 1 to 20 and use a random number generator to select 5 unique numbers

Question 19

Which of the following best describes the difference between a parameter and a statistic?

Accepted Answer

A parameter describes a population, while a statistic describes a sample

Question 20

A student claims that water at 80°F is twice as hot as water at 40°F. Why is this calculation incorrect?

Accepted Answer

Temperature in Fahrenheit is an interval level of measurement, so ratios are not meaningful

Introduction to Statistics: Key Concepts and Methods

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