What Standard normal distribution is
Standard normal distribution, also known as the Gaussian or the normal distribution, is a type of continuous probability distribution. It is the most commonly used distribution in statistics and is used to model data that follows a normal or bell-shaped pattern. The standard normal distribution is a special case of the normal distribution that has a mean of 0 and a standard deviation of 1.
Steps for Standard Normal Distribution:
- Identify the mean and standard deviation of the data.
- Calculate the z-score for each data point.
- Use the z-score to determine the probability of each data point.
- Plot the data points on the standard normal distribution curve.
- Use the curve to find the probability of any data point.
Examples
- The standard normal distribution can be used to calculate the probability of a sample mean falling within a given range.
- The standard normal distribution can be used to calculate the probability of a sample proportion falling within a given range.
- The standard normal distribution can be used to calculate the probability of a sample size falling within a given range.
- The standard normal distribution can be used to determine the sample size necessary to achieve a certain degree of accuracy.
- The standard normal distribution can be used to identify outliers in a dataset.
- The standard normal distribution can be used to compare the results of two or more experiments.
- The standard normal distribution can be used to calculate confidence intervals for population parameters.