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The difference between hypothesis testing where sigma is unknown rather than known 

Definition
Must use tdistribution rather than the zdistribution 


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1. Properties of the tdistribution 

Definition
The tdistribution is different for different degrees of freedom 


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2. Properties of the tdistribution 

Definition
The tdistribution is centered at 0 and is symmetric about 0 


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3. Properties of the tdistribution 

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The area under the curve is 1. The area on either side of 0 equals 1/2 


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4. Properties of the tdistribution 

Definition
As t increases/decreases without bound, the graph approaches but never equals 0 


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5. Properties of the tdistribution 

Definition
The area in the tails of the tdistribution is a little greater than the area in the tails of the standard normal distribution 


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6. Properties of the tdistribution 

Definition
As the sample size n increases, the density curve of t gets closer to the standard normal density curve 


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2 requirements using classical and pvalue approach 

Definition
1. The sample is obtained using simple random sampling 2. The sample has no outliers and population is normally distributed or n >= 30 


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Test statistic, sd unknown = 

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