State a problem or question to be tested to investigate the difference in the transmission of sound waves through solids and liquids.

The problem or question to be tested could be: "Do sound waves travel differently through solids and liquids, and if so, how?"

Here are the steps to investigate this:

Step 1: Formulate a Hypothesis Based on your knowledge of sound waves and matter, formulate a hypothesis. For example, "Sound waves will travel faster through solids than through liquids because particles in a solid are closer together than in a liquid."

Step 2: Gather Materials You will need a solid and a liquid medium through which to transmit sound. A metal rod and a container of water could work. You will also need a device to generate sound (like a tuning fork) and a device to measure sound (like a microphone connected to a computer with sound analysis software).

Step 3: Set Up Experiment Set up your experiment so that you can transmit sound through the solid and liquid and measure how quickly it travels. This might involve striking the tuning fork and then touching it to the metal rod or the surface of the water, and then capturing the sound with the microphone.

Step 4: Conduct Experiment Carry out the experiment for both the solid and the liquid. Make sure to conduct multiple trials for each to ensure your results are reliable.

Step 5: Analyze Results Use the sound analysis software to determine how quickly the sound traveled through the solid and the liquid. Compare these results to see if they support your hypothesis.

Step 6: Draw Conclusions Based on your results, draw conclusions about the transmission of sound through solids and liquids. If your results supported your hypothesis, great! If not, that's okay too. It's all part of the scientific process.

Remember, the goal of this experiment is not to prove your hypothesis right, but to determine whether it's right or wrong.