You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "binary_addition", "description": "Adds two binary numbers and returns the result as a binary string.", "parameters": {"a": {"description": "The first binary number.", "type": "str"}, "b": {"description": "The second binary number.", "type": "str"}}}, {"name": "mean_confidence_interval", "description": "Calculates the confidence interval for a sample mean.", "parameters": {"std_dev": {"description": "The standard deviation of the sample.", "type": "float", "default": 0.95}, "sample_size": {"description": "The size of the sample.", "type": "int", "default": 0.95}, "mean": {"description": "The mean of the sample.", "type": "float"}, "confidence": {"description": "The desired confidence level. Default is 0.95.", "type": "float, optional"}}}, {"name": "independent_samples_t_test", "description": "Conducts a two-sample independent t-test and returns the t-statistic, p-value, and conclusion.", "parameters": {"sample1": {"description": "The first sample of observations.", "type": "List[float]", "default": 0.05}, "sample2": {"description": "The second sample of observations.", "type": "List[float]", "default": 0.05}, "alpha": {"description": "The significance level of the test. Defaults to 0.05.", "type": "float, optional"}}}]
1. You are a computer scientist and you need to add two binary numbers, 1011 and 1001. What is their sum in binary? 

2. You have a sample of 50 data points with a mean of 20 and a standard deviation of 5. Calculate the 95% confidence interval for this sample. 

3. You are a researcher and you have two independent samples of data, [1, 2, 3, 4, 5] and [6, 7, 8, 9, 10]. Perform a two-sample independent t-test on these data.
user
assistant
[{"name": "binary_addition", "arguments": {"a": "1011", "b": "1001"}}, {"name": "mean_confidence_interval", "arguments": {"std_dev": 5, "sample_size": 50, "mean": 20, "confidence": 0.95}}, {"name": "independent_samples_t_test", "arguments": {"sample1": [1, 2, 3, 4, 5], "sample2": [6, 7, 8, 9, 10]}}]