Chapter 6: The Normal Distribution

________: sample size n, mean µ, and standard deviation σ are given.

________: normalcdf (lower x value of the area, upper x value of the area, mean, standard deviation)

________ : a normal distribution with a mean of µ= 0 and a standard deviation of σ= 1.

________: X- N (µ, σ) where µ is the mean and σ is the standard deviation.

A(n) ________ is unimodal.

A bell curve or a Gaussian distribution curve

Many continuous variables (e.g

a normal distribution with a mean of µ = 0 and a standard deviation of σ = 1

𝑿 − 𝝁 / σ

𝑿 = 𝝁 + 𝝈Z

normalcdf (lower x value of the area, upper x value of the area, mean, standard deviation)

k = invNorm (area to the left of k, mean, standard deviation)

a distribution using the means computed from all possible random samples of a specific size taken from a population

the difference between the sample measure and the corresponding population measure because the sample is not a perfect representation of the population

sample size n, mean µ, and standard deviation σ are given

𝝈/ √𝑛

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

→ Total number of units given in the problem × are calculated based on condition