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6.2.5 One Sample t-test and Confidence Interval

Assumptions: Observations are independent of one another and if the data come from a non-normal distribution, n > 30. If the data come from a normal distribution, n can be any size for each sample.

H0 : μ = μ0

¯x - μ0 t = ---√---. s∕ n

A (1 - α)100% confidence interval for μ is,

( ) s s ¯x - tα∕2√---,x¯+ tα∕2√--- . n n

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