Back
0

Statistical Education

Description: This quiz is designed to assess your understanding of fundamental concepts and methods in statistical education.
Number of Questions: 14
Created by:
Tags: statistics statistical education probability hypothesis testing
Start the Quiz
Attempted 0/14 Correct 0 Score 0
‹
›

What is the probability of obtaining a head when flipping a fair coin?

  1. 0.5

  2. 0.25

  3. 0.75

  4. 0.1

Show answer
Correct Option: A
Explanation:

For a fair coin, the probability of obtaining a head or a tail is equal, which is 0.5.

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

  1. 68%

  2. 95%

  3. 99.7%

  4. 50%

Show answer
Correct Option: A
Explanation:

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.

What is the purpose of a hypothesis test?

  1. To confirm a hypothesis

  2. To reject a hypothesis

  3. To prove a hypothesis

  4. To estimate a population parameter

Show answer
Correct Option: B
Explanation:

The purpose of a hypothesis test is to determine whether there is enough evidence to reject a null hypothesis.

What is the difference between a population and a sample?

  1. A population is larger than a sample

  2. A sample is larger than a population

  3. A population is a subset of a sample

  4. A sample is a subset of a population

Show answer
Correct Option: D
Explanation:

A sample is a subset of a population that is used to make inferences about the entire population.

What is the central limit theorem?

  1. The sample mean will converge to the population mean as the sample size increases

  2. The sample proportion will converge to the population proportion as the sample size increases

  3. The sample variance will converge to the population variance as the sample size increases

  4. All of the above

Show answer
Correct Option: D
Explanation:

The central limit theorem states that the sample mean, sample proportion, and sample variance will converge to the population mean, population proportion, and population variance, respectively, as the sample size increases.

What is the difference between descriptive statistics and inferential statistics?

  1. Descriptive statistics summarize data

  2. Inferential statistics make inferences about a population

  3. Descriptive statistics use graphs and tables

  4. Inferential statistics use probability distributions

Show answer
Correct Option:
Explanation:

Descriptive statistics summarize data, inferential statistics make inferences about a population, descriptive statistics use graphs and tables, and inferential statistics use probability distributions.

What is a confidence interval?

  1. A range of values within which the true population parameter is likely to fall

  2. A single value that is an estimate of the true population parameter

  3. A hypothesis that is tested using data

  4. A probability distribution that describes the distribution of the sample mean

Show answer
Correct Option: A
Explanation:

A confidence interval is a range of values within which the true population parameter is likely to fall, with a specified level of confidence.

What is the difference between a Type I error and a Type II error?

  1. A Type I error is rejecting a true null hypothesis

  2. A Type II error is accepting a false null hypothesis

  3. A Type I error is making a false positive conclusion

  4. A Type II error is making a false negative conclusion

Show answer
Correct Option:
Explanation:

A Type I error is rejecting a true null hypothesis, a Type II error is accepting a false null hypothesis, a Type I error is making a false positive conclusion, and a Type II error is making a false negative conclusion.

What is the p-value of a hypothesis test?

  1. The probability of obtaining a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true

  2. The probability of rejecting the null hypothesis

  3. The probability of accepting the null hypothesis

  4. The probability of making a Type I error

Show answer
Correct Option: A
Explanation:

The p-value of a hypothesis test is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true.

What is the difference between a correlation and a causation?

  1. A correlation is a relationship between two variables

  2. A causation is a relationship between two variables where one variable causes the other

  3. A correlation can be positive or negative

  4. A causation is always positive

Show answer
Correct Option:
Explanation:

A correlation is a relationship between two variables, a causation is a relationship between two variables where one variable causes the other, a correlation can be positive or negative, and a causation is always positive.

What is a regression analysis?

  1. A statistical method used to determine the relationship between a dependent variable and one or more independent variables

  2. A statistical method used to predict the value of a dependent variable based on the values of one or more independent variables

  3. A statistical method used to test the significance of the relationship between a dependent variable and one or more independent variables

  4. All of the above

Show answer
Correct Option: D
Explanation:

Regression analysis is a statistical method used to determine the relationship between a dependent variable and one or more independent variables, to predict the value of a dependent variable based on the values of one or more independent variables, and to test the significance of the relationship between a dependent variable and one or more independent variables.

What is the difference between a simple linear regression and a multiple linear regression?

  1. A simple linear regression has one independent variable

  2. A multiple linear regression has two or more independent variables

  3. A simple linear regression can be used to predict the value of a dependent variable based on the value of one independent variable

  4. A multiple linear regression can be used to predict the value of a dependent variable based on the values of two or more independent variables

Show answer
Correct Option:
Explanation:

A simple linear regression has one independent variable, a multiple linear regression has two or more independent variables, a simple linear regression can be used to predict the value of a dependent variable based on the value of one independent variable, and a multiple linear regression can be used to predict the value of a dependent variable based on the values of two or more independent variables.

What is the coefficient of determination?

  1. A measure of how well a regression model fits the data

  2. A measure of the strength of the relationship between a dependent variable and one or more independent variables

  3. A measure of the proportion of variance in the dependent variable that is explained by the independent variables

  4. All of the above

Show answer
Correct Option: D
Explanation:

The coefficient of determination is a measure of how well a regression model fits the data, a measure of the strength of the relationship between a dependent variable and one or more independent variables, and a measure of the proportion of variance in the dependent variable that is explained by the independent variables.

What is the difference between a residual and an outlier?

  1. A residual is the difference between the observed value of a dependent variable and the predicted value of the dependent variable

  2. An outlier is a data point that is significantly different from the other data points

  3. A residual can be positive or negative

  4. An outlier is always positive

Show answer
Correct Option:
Explanation:

A residual is the difference between the observed value of a dependent variable and the predicted value of the dependent variable, an outlier is a data point that is significantly different from the other data points, a residual can be positive or negative, and an outlier is always positive.

- Hide questions
ADVERTISEMENT

Find more quizzes from top tags

general knowledge
3615 Quizzes
119858 Questions
 technology
307 Quizzes
36705 Questions
 sports
963 Quizzes
19148 Questions
 history
1187 Quizzes
13475 Questions
 physics
598 Quizzes
13441 Questions
 biology
1160 Quizzes
12174 Questions
 science & technology
551 Quizzes
11015 Questions
 chemistry
490 Quizzes
9892 Questions
 maths
518 Quizzes
9324 Questions
 softskills
0 Quizzes
7131 Questions