Z = standardized normal variable. Notation used: Z = standardized normal variable.  = 0 and  = 1 are the basic values for mean and standard.

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Presentation transcript:

Z = standardized normal variable. Notation used: Z = standardized normal variable.  = 0 and  = 1 are the basic values for mean and standard deviation.  is the symbol often used for the mean of a normal distribution. X = mean (or arithmetic mean) when analyzing general data.

The Greek Alphabet

Area under the Standard Normal Curve: The area represents the probability (percent of data) for a given interval of the normal distribution. Calculator commands we will use today: 2nd DISTR 2:normalcdf(lower, upper,  ,) 3:invNorm(probability,  , ) The calculator always measures to the left of the z-value.

3. Sketch two normal curves: b. μ = 75 σ = 5

6. given: μ = 550 σ = 35 b. P(515 < X < 585) a. sketch curve: c. P(X) = 99.7% Find the interval. d. 200 values in data set…how many are between 480 & 620?

7. given: 500 values normally distributed and μ = 24 σ = 2 a. P(22 < X < 26) b. P(20.5 < X < 27.5) c. P(X) = 50% Find the interval.

7. given: 500 values normally distributed and μ = 24 σ = 2 c. P(X) = 50% Find the interval.