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. Explanation: A.

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fichoh fichoh · Answer 2 · 2021-11-22T14:26:58+01:00

The mean sampling proportion gives the mean value for the proportion of success based on a given sample size, n. Hence, the most appropriate interpretation is For all samples of size 100, the mean of all possible sample proportions of monitors manufactured that have a screen defect is 0.04.

The sampling proportion is given as x/n ; Here, the sample size, n = 100 ;and the sampling proportion = 0.04(4%).

The sampling distribution takes the mean outcome of the mean of different combination of samples in a distribution.

Hence, the best interpretation in this scenario is "For all samples of size 100, the mean of all possible sample proportions of monitors manufactured that have a screen defect is 0.04."

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