Question 1

Which of the following best describes the difference between a population and a sample in statistics?

Accepted Answer

A population includes all subjects of interest, while a sample is a subset of the population.

Question 2

A researcher wants to estimate the average number of hours college students sleep per night. She surveys 200 students out of 10,000 at her university. In this context, what is the population parameter?

Accepted Answer

The average number of hours slept by all 10,000 students at the university.

Question 3

Which of the following is an example of inferential statistics?

Accepted Answer

Predicting that 60% to 70% of all city residents support a new law based on a survey of 500 residents.

Question 4

Which formula represents the population mean?

Accepted Answer

$$\mu = \frac{\sum_{i=1}^{N} x_i}{N}$$

Question 5

Why is randomness important in selecting a sample?

Accepted Answer

It helps ensure that the sample is representative of the population, allowing for valid inferences.

Question 6

A study finds that 61.9% of 29,516 Canadians surveyed believe the police treat people fairly. What is the sample in this study?

Accepted Answer

The 29,516 Canadians who responded to the survey.

Question 7

Which of the following best defines a statistic in the context of a study?

Accepted Answer

A numerical summary of a sample taken from the population.

Question 8

Suppose you want to study the effect of a new diet on blood pressure. Which of the following is an example of a design question?

Accepted Answer

How should subjects be assigned to the diet and control groups?

Question 9

Which of the following statements about variability is correct?

Accepted Answer

Variability means that measurements may differ from subject to subject and from sample to sample.

Question 10

A meteorologist constructs a line graph showing total precipitation for each month in a year. This is an example of:

Accepted Answer

Descriptive statistics

Question 11

Which of the following is a parameter?

Accepted Answer

The mean number of cigarettes smoked per day by all teenagers in a country.

Question 12

In a random sample of 1,000 voters, 39% approve of the Prime Minister. Which of the following is an inferential statement?

Accepted Answer

We are 95% confident that between 36% and 42% of all voters approve of the Prime Minister.

Question 13

Which of the following best describes descriptive statistics?

Accepted Answer

Methods for summarizing and presenting data using graphs and numerical summaries.

Question 14

A simple random sample is best described as:

Accepted Answer

A sample where each subject in the population has an equal chance of being selected.

Question 15

Which of the following is NOT a step in the statistical process?

Accepted Answer

Ignoring variability in the data

Question 16

A marketing team wants to know if a new TV ad increases visits to Starbucks. They collect data on the percentage of people who visited Starbucks before and after the ad aired. Which aspect of a statistical study does this represent?

Accepted Answer

Description

Question 17

Which of the following scenarios illustrates the importance of randomness in sampling?

Accepted Answer

A researcher uses a random number generator to select students from the entire university.

Question 18

If a coin lands heads 5 times in a row, what statistical concept explains why this is not surprising in a long sequence of flips?

Accepted Answer

Randomness and variability

Question 19

Which of the following best describes the purpose of statistical inference?

Accepted Answer

To make decisions or predictions about a population based on sample data.

Question 20

Why are larger samples generally preferred in statistical studies?

Accepted Answer

They make predictions more accurate by reducing the effect of variability.

Lesson 1

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