10 Questions
What is the parameter representing the mean or expectation of the normal distribution?
$rac{1}{ ext{μ}}$
Which theorem states that the average of many samples of a random variable with finite mean and variance converges to a normal distribution?
Central limit theorem
What is the variance of a normal distribution with standard deviation $ ext{σ}$?
$ ext{σ}^2$
What type of distribution is often used to represent real-valued random variables in natural and social sciences?
Normal distribution
What does the parameter $ ext{σ}$ represent in the normal distribution?
$ ext{Standard deviation}$
What is the formula for calculating the standard score (z-score) of a raw score?
$z = \frac{x - \mu}{\sigma}$
What type of scores have positive standard scores according to the standard score definition?
Raw scores above the mean
What is another common term used interchangeably with 'standard score'?
z-score
When computing a z-score with only a sample of observations, what should be used instead of the population parameters?
Sample mean and sample standard deviation
What does a negative z-score indicate about a raw score in relation to the mean?
The raw score is below the mean
Test your knowledge of the probability density function for a normal distribution, including the parameters and its general form.
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