Question

A guitar amp production line manager wants to know the proportion of defective guitar amps produced by his production process. Rather than checking every guitar amp produced, the production manager plans on taking a random sample of size 180 in order to estimate the proportion of defective guitar amps being produced by the process. If the sample proportion of defective guitar amps is greater than 4 out of 100, the manager will consider adjusting the production process.

Expressed as percentage, the manager will consider adjusting the production process if the percentage of defective guitar amps being produced is greater than ________

Answer 1

If the percentage of defective guitar amps being produced is greater than 4%, the manager will consider adjusting the production process.

Step-by-step explanation:

In order to estimate the proportion of defective guitar amps produced by the production process, the manager plans on taking a random sample of size 180. If the sample proportion of defective guitar amps is greater than 4 out of 100, the manager will consider adjusting the production process. To find the percentage of defective guitar amps that would trigger this adjustment, we need to convert 4 out of 100 to a percentage.

4 out of 100 is equivalent to 4/100 = 0.04 or 4%. Therefore, if the percentage of defective guitar amps being produced is greater than 4%, the manager will consider adjusting the production process.