Question

A factory produces 64,000 computer monitors per day. The manager of the factory claims that fewer than 515 defective computer monitors are produced each day. In a random sample of 345 computers, there are 5 defective computer monitors. Determine whether the manager's prediction is likely to be true or false. Explain.

Answer 1

The manager's prediction is false.

The number of defective computers approximately 928

Explanation:

Number of computers produced in a month = 64000

Number of defective computers claimed in a month = 515

345 computers were randomly picked and 5 detectives were found.

Using simple proportion:At every 345 computers randomly checked 5 were defective

64000 computers will have X defectives

X =(64000/345 )× (5/1)

X= 927.5 approximately 928 defective computers.

The manager's prediction is false because there are 928 defective computers and not 515 .