The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process involving the use of gold wire is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false:

Since 4 is less 5, it is therefore True that only 4 are defective.

Explanation:

Since the goal of using the gold wire is to reduce the rate of defects to 5% or less, the highest number of defective units from the first 100 units manufactured with gold wire can be calculated as follows:

Highest number of defective units using gold wire = Number of units manufactured with gold wire * Highest defective rate (1)

Where;

Number of units manufactured with gold wire = 100

Highest defective rate using gold wire = 5%

Substituting the values into equation (1), we have:

Highest number of defective units using gold wire = 100 * 5% = 5

Based on the calculation above, it implies that the number of defective units from the first 100 units manufactured with gold wire is less or equal to 5.

Since 4 is less 5, it is therefore True that only 4 are defective.

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