Question

The inferential statistics that we will cover in our class will all be parametric statistics. Parametric statistics require that certain requirements about the distribution must be met by the sample data values. We have learned some different distributions in chapter 2. Sketch and name the FOUR different distributions that we have learned in the space below.

Answer 1

The four different distributions we have learned in the class are the Uniform Distribution, Exponential Distribution, Normal Distribution, and Chi-Square Distribution. These distributions are used to model different types of data and have distinct characteristics.

Step-by-step explanation:

The four different distributions that we have learned in the class are:

1. Uniform Distribution: This distribution has a constant probability density function, meaning every outcome has an equal chance of occurring. An example of a uniform distribution is rolling a fair six-sided die.
2. Exponential Distribution: This distribution models the time between events that occur at a constant rate. It is commonly used to model waiting times or interarrival times. An example of an exponential distribution is the time it takes for a light bulb to burn out.
3. Normal Distribution: Also known as the bell curve, this distribution is symmetric and bell-shaped. It is commonly used to model continuous data that follow a pattern. An example of a normal distribution is the distribution of heights in a population.
4. Chi-Square Distribution: This distribution is used to test the independence of variables or goodness-of-fit in statistical analysis. It has a skewed shape and is positively skewed.