Solved: The specification for the pull strength of a wire

Chapter 5, Problem 2E

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QUESTION:

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 85 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminium wire, 105 met the specification. Find a 95% confidence interval for the difference in the proportions of units that meet the specification between units with gold wire and those with aluminium wire.

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QUESTION:

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 85 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminium wire, 105 met the specification. Find a 95% confidence interval for the difference in the proportions of units that meet the specification between units with gold wire and those with aluminium wire.

ANSWER:

Problem 5.5.2

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 85 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminium wire, 105 met the specification. Find a 95% confidence interval for the difference in the proportions of units that meet the specification between units with gold wire and those with aluminium wire.

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Step 1 of 4

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 85 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminium wire, 105 met the specification.

To find a 95% confidence interval for the difference in the proportions of units that meet the specification between units with gold wire and those with aluminium wire.

Now, given data are

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