Which type of error occurs when we reject a true null hypothesis?
Type III error
Type I error
Sampling error
Type II error
Why is understanding the difference between descriptive and inferential statistics important?
It helps in choosing the appropriate statistical methods for analysis.
It is not important; both types of statistics are used interchangeably.
It is only important for professional statisticians, not for beginners.
It is mainly relevant for complex statistical research, not everyday data analysis.
Which of the following is NOT a core component of statistical analysis?
Data Collection
Algorithm Development
Probability Assessment
Data Interpretation
What is the commonly used significance level (alpha) in hypothesis testing?
0.50
0.01
0.10
0.05
Drawing a card from a deck and then drawing another card without replacing the first is an example of:
Complementary events
Independent events
Mutually exclusive events
Dependent events
Which of the following is an example of inferential statistics?
Creating a bar chart to show the distribution of grades on an exam
Estimating the average income of all citizens in a country based on a sample
Calculating the average height of students in a class
Finding the range of ages among employees in a company
The area under a probability distribution curve represents:
The standard deviation of the distribution
The mean of the distribution
The total probability of all possible outcomes, which always equals 1
The probability of a specific value occurring
Which of the following is NOT a characteristic of a normal distribution?
Mean, median, and mode are equal
Asymmetry with a longer tail on one side
Bell-shaped and symmetrical
The total area under the curve equals 1
What is the range of the following dataset: 7, 12, 4, 9, 15, 11?
4
11
8
15
If you roll a fair six-sided die, what is the probability of getting an even number?
1/6
2/3
1/2
1/3