By default, all the other modules such as torch.nn.LayerNorm are converted to torch.float16. You can change the data type of these modules with the torch_dtype parameter if you want:

import torch
from transformers import AutoModelForCausalLM
model_8bit = AutoModelForCausalLM.from_pretrained("facebook/opt-350m", load_in_8bit=True, torch_dtype=torch.float32)
model_8bit.model.decoder.layers[-1].final_layer_norm.weight.dtype