Normal Hypothesis Testing How is a hypothesis test carried out with the normal distribution? The population parameter being tested will be the population mean, in a normally distributed random vari...
Sample Mean Distribution What is the distribution of the sample means? For any given population it can often be difficult or impractical to find the true value of the population mean, µ The populat...
Binomial Hypothesis Testing How is a hypothesis test carried out with the binomial distribution? The population parameter being tested will be the probability, p in a binomial distribution B(n , p...
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Language of Hypothesis Testing What is a hypothesis test? A hypothesis test uses a sample of data in an experiment to test a statement made about the value of a population parameter A hypothesis te...
Normal Approximation of Binomial When can I use a normal distribution to approximate a binomial distribution? A binomial distribution can be approximated by a normal distribution provided n is l...
Modelling with Distributions When should I use a binomial distribution? A random variable that follows a binomial distribution is a discrete random variable A binomial distribution is used when the...
Standard Normal Distribution What is the standard normal distribution? The standard normal distribution is a normal distribution where the mean is 0 and the standard deviation is 1 It is denoted b...
Throughout this section we will use the random variable . For a normal distribution, X can take any real number. Therefore any values mentioned in this section will be assumed to be real numbers. C...
