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# If we know the population variance or if we are

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If we know the population variance (or if we are dealing with a sample proportion): ( ) 1 ,where z z , and P(z<z )=1- 2 P z z z α α - + - + + < < = - = - However, if we do not know the population variance: ( ) 1 ,with ( 1)d.f, and where t t , and P(t<t )=1- 2 Margin of Error: ME=z* , or t* , depending on the context. Also, we have different looking standard deviation terms ( ) depending on th X X X P t t t n α α σ σ σ - + - + + < < = - - = - 2 2 2 2 e problem. In general, for population means, use (if is known), (if is not known), ˆ ˆ (1 ) and for population proportions, use . X X X X s n n p p n σ σ σ -
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• '10
• HAULLGREN
• Normal Distribution, Probability theory, population variance, unknown population variance

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