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The more common way of using these statistics is to compute the actual confidenceinterval centered about the sample data. This means that alpha is known and z (alpha / 2) ort(alpha/ 2, n - 2) have to be computed. This can be done by repeatedly trying possiblevalues for z or t and evaluating the integral. This is an excellent application for a rootfindingalgorithm. If an algorithm like bisection method of solving nonlinear equationswere used, how would you pick the initial bounds for the x or t value?
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