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Mathematical Statistics with Applications

Refer to Exercises 13.31 and $13.47 .$ Because method 4 is the most expensive, it is desired to compare it to the other three. Construct confidence intervals for the differences $\mu_{1}-\mu_{4}, \mu_{2}-\mu_{4}$ and $\mu_{3}-\mu_{4}$ so that the simultaneous confidence coefficient is at least. 95 .