Final answer:
To keep the noise constant when decreasing the slice thickness by a factor of two, the technologist would need to increase the dose by a factor of four.
Step-by-step explanation:
To keep the noise constant when decreasing the slice thickness by a factor of two, the technologist would need to increase the dose by a factor of four. This is because as the slice thickness decreases, the number of slices increases, leading to more radiation exposure. By increasing the dose, the noise remains constant, ensuring that the image quality is maintained.