Problem

Express the confidence interval $526.9 \pm 115.9$ in the form of a trilinear inequality. \[ <\mu< \] Submit Question

Solution

Step 1 :Given the confidence interval is $526.9 \pm 115.9$

Step 2 :This means that the true value lies somewhere between $526.9 - 115.9$ and $526.9 + 115.9$

Step 3 :We can express this as a trilinear inequality by placing the lower bound on the left, the mean in the middle, and the upper bound on the right

Step 4 :Calculate the lower bound: $526.9 - 115.9 = 411.0$

Step 5 :Calculate the upper bound: $526.9 + 115.9 = 642.8$

Step 6 :The trilinear inequality is $411.0 < \mu < 642.8$

Step 7 :\(\boxed{411.0 < \mu < 642.8}\)

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