Studied by 7 people
The Central Limit Theorem
________: sample size n, mean µ, and standard deviation σ are given.
Calculator function for probability
________: normalcdf (lower x value of the area, upper x value of the area, mean, standard deviation)
Standard normal distribution
________ : a normal distribution with a mean of µ= 0 and a standard deviation of σ= 1.
Normal Distribution
________: X- N (µ, σ) where µ is the mean and σ is the standard deviation.
normal distribution curve
A(n) ________ is unimodal.
Normal distribution
A bell curve or a Gaussian distribution curve
Approximately normally distributed variables
Many continuous variables (e.g
Standard normal distribution
a normal distribution with a mean of µ = 0 and a standard deviation of σ = 1
Z-score formula
𝑿 − 𝝁 / σ
(P → X)
𝑿 = 𝝁 + 𝝈Z
Calculator function for probability
normalcdf (lower x value of the area, upper x value of the area, mean, standard deviation)
Calculator function for the kth percentile
k = invNorm (area to the left of k, mean, standard deviation)
Sampling distribution of sample means
a distribution using the means computed from all possible random samples of a specific size taken from a population
Sampling error
the difference between the sample measure and the corresponding population measure because the sample is not a perfect representation of the population
The Central Limit Theorem
sample size n, mean µ, and standard deviation σ are given
Standard error of the sample mean
𝝈/ √𝑛
Properties of the Theoretical Normal Distribution
Mean = Median = Mode
A normal distribution curve is unimodal.
The curve never touches the x-axis.
The total area under a normal distribution curve is equal to 1.00
Number of units (individual/items) satisfying a condition
→ Total number of units given in the problem × are calculated based on condition
