Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect.
A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Please find the complete question in the attached file.
Faulty factory cars in a plant
Faulty factory cars in a plant
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.