Question

A manufacturer of computer monitors estimates that 4 percent of all the monitors manufactured have a screen defect. Let pd represent the population proportion of all monitors manufactured that have a screen defect. For the sampling distribution of the sample proportion for samples of size 100, μPˆd=0.04. Which of the following is the best interpretation of μPˆd=0.04 ?

• For all samples of size 100, the mean of all possible sample proportions of monitors manufactured that have a screen defect is 0.04.

  A

• For all samples of size 100, the standard deviation of all possible sample proportions of monitors manufactured that have a screen defect is 0.04.

  B

• For a randomly selected screen monitor, the probability that the selected monitor will have a screen defect is 0.04.

  C

• For each sample of size 100, the proportion of monitors manufactured that will have a screen defect is 0.04.

  D

• For a randomly selected screen monitor, the mean number of defects for the monitor will be equal to 4.

Answer 1

μPˆd=0.04

n = 100

mean = 0.04*100 = 4

For a randomly selected screen monitor, the probability that the selected monitor will have a screen defect is 0.04.