Calculus and Above

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A random sample of...

A random sample of 375 bolts from machine A contained 41 defective bolts, while an independently chosen, random sample of 325 bolts from machine B contained 32 defective bolts. Let p1 be the proportion of the population of all bolts from machine A that are defective, and let p2 be the proportion of the population of all bolts from machine B that are defective. Find a 95% confidence interval for −p1p2. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.)What is the lower limit of the 95% confidence interval?

What is the upper limit of the 95% confidence interval?

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