The probability of an event happening is 0.3. What is the probability of the event NOT happening?
0.7
1
0.6
0.3
What is the primary difference between a discrete probability distribution and a continuous probability distribution?
Discrete distributions are used for quantitative data, while continuous distributions are used for qualitative data.
Discrete distributions deal with countable data, while continuous distributions deal with data that can take on any value within a range.
Discrete distributions are represented by graphs, while continuous distributions are represented by tables.
There is no difference; both types of distributions represent the same statistical concepts.
What is the primary goal of hypothesis testing in statistics?
To prove the null hypothesis is true.
To prove the alternative hypothesis is true.
To calculate the exact value of the population parameter.
To determine the likelihood of observing the data if the null hypothesis were true.
If you roll a fair six-sided die, what is the probability of getting an even number?
1/3
2/3
1/6
1/2
What does a small standard deviation indicate about a dataset?
The data is skewed to the left
The data is skewed to the right
The data points are clustered closely around the mean
The data points are spread out widely from the mean
If a distribution is skewed to the right, what is the relationship between the mean and the median?
Mean is equal to the median.
Mean is less than the median.
The relationship cannot be determined.
Mean is greater than the median.
Descriptive statistics primarily deals with:
Summarizing and visualizing existing data
Predicting future outcomes based on data trends
Testing hypotheses about population parameters
Drawing conclusions about populations from samples
What does the significance level (alpha) represent in hypothesis testing?
The threshold below which we reject the null hypothesis.
The strength of the relationship between variables.
The probability of making a Type II error.
The probability of obtaining the observed data.
What does a pie chart primarily illustrate?
Trend over time
Correlation between variables
Distribution of a single variable
Parts of a whole
A researcher wants to study the sleeping habits of college students. They survey 100 students from their university. What is the population in this scenario?
The 100 students surveyed
All college students in the world
Students who sleep less than 6 hours a night
All college students at the researcher's university