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### Estimating Confidence Intervals: Statistical Significance

- Are M1 & M2
**significantly different**? - Compute
*t.*Select*significance level*(e.g.*sig = 5%)* - Consult table for t-distribution: Find
*t value*corresponding to*k-1 degrees of freedom*(here, 9) - t-distribution is symmetric: typically upper % points of distribution shown → look up value for
**confidence limit***z=sig/2*(here, 0.025) **If****t > z or t < -z**, then t value lies in rejection region:**Reject null hypothesis**that mean error rates of M1 & M2 are same- Conclude: statistically significant difference between M1 & M2
**Otherwise**, conclude that any difference is**chance**

**Speaker notes:**

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