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Problem: The cumulative standard normal distribution function is given by
Φ(z) = ∫-∞z 1/√(2Π) e-z2/2 dz
Construct statistical table for standard normal area under the curve, similar to the one available in any standard statistics book separately by SImpson's and Trapezoidal methods and compare with R software values as true values with increments of z as Δz = 0.01.
Use n=100 and offer your comments.
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This task provides a clear working procedure on framing standard normal distribution table using R codes. the standard normal distribution table has mean 0 and standard deviation 1. when the distribution of a specific variable follows normal, then, the curve of the variable taken into consideration forms like a bell shaped curve.If the distribution do not follow normal, then the curve will have a longer tail either on the right side or on the left side of the normal curve.
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